How do you do 2 digit by 1 digit division?

Dividing two-digit numbers by one-digit numbers can be a challenging math concept for some students. However, with a clear understanding of the process and practice, it can become much easier.

To begin, let's take an example: 56 divided by 3. The first step is to divide the tens place digit, which is 5, by the divisor, which is 3. In this case, 5 divided by 3 equals 1. The quotient, which represents the number of times the divisor can fit into the dividend, is written above the division line.

Next, we multiply the quotient by the divisor, and subtract the result from the tens place digit of the dividend. In this case, 1 multiplied by 3 equals 3. The difference between 5 and 3 is 2, which represents the remainder.

Now, we bring down the ones place digit of the dividend, which is 6. We then divide this number by the divisor, which is 3. Here, 6 divided by 3 equals 2. Just like before, we write the quotient above the division line.

Similarly, we multiply the quotient by the divisor and subtract the result from the ones place digit of the dividend. In this case, 2 multiplied by 3 equals 6. The difference between 6 and 6 is 0, which means there is no remainder.

Finally, we have the complete quotient. In this example, 56 divided by 3 equals 18. It is important to write the remainder, if any, next to the quotient.

It is essential to practice this process to become proficient in dividing two-digit numbers by one-digit numbers. The key is to understand the steps involved and apply them correctly to different problems.

How do you divide a 2-digit number by a 1 digit number partitioning?

When dividing a 2-digit number by a 1-digit number using partitioning, the process involves breaking down the 2-digit number into tens and units. Let's consider an example:

Suppose we want to divide 56 by 8 using partitioning.

First, we start by dividing the tens digit of the 2-digit number by the divisor. In this case, 56 divided by 8 gives us 7, with a remainder of 0. We write the quotient, 7, above the line.

Next, we move to the units digit of the 2-digit number. We bring down the remainder from the previous step, which is 0. We now have 0 as the new dividend. We divide 0 by 8, which results in a quotient of 0 with a remainder of 0. We write the quotient, 0, above the line.

In the end, the final quotient is 70, indicating that 56 divided by 8 is equal to 7 with no remainder.

Partitioning allows us to break down the 2-digit number into its tens and units digits, making the division process more manageable. By focusing on one digit at a time, it helps us to perform the division more accurately and with fewer computations involved. This method is especially useful when dividing larger numbers or when teaching division to students, as it provides a structured approach to the division process.

How to do short division with 2 digits?

Short division is a method used to divide numbers efficiently and quickly. In this case, we will focus on dividing 2-digit numbers. To perform short division, follow the steps below:

  1. First, write down the dividend, which is the number being divided, and the divisor, which is the number that divides the dividend.
  2. Next, determine how many times the divisor can be divided into the first digit of the dividend. Write this number above the division symbol.
  3. Then, multiply the divisor by the quotient obtained from the previous step. Write the result below the first digit of the dividend.
  4. Afterwards, subtract the result obtained in the previous step from the first digit of the dividend. Write the difference below.
  5. Now, bring down the next digit of the dividend next to the difference obtained in the previous step.
  6. Repeat steps 2 to 5 until all the digits of the dividend have been brought down and divided.
  7. Finally, write the remainder, if any, above the division symbol.

By following these steps, you can easily perform short division with 2-digit numbers. Practice will help you become more comfortable and efficient with this method.

How do you divide 1 digits step by step?

Dividing single-digit numbers can be a simple process if you follow the steps below:

  1. Select the numbers: Choose two single-digit numbers, a dividend (the number to be divided) and a divisor (the number dividing the dividend).
  2. Write down the division: Write the dividend on the left and the divisor on the right, separated by a division symbol (÷).
  3. Find the quotient: Look for the largest multiple of the divisor that can be subtracted from the dividend without resulting in a negative number.
  4. Write the quotient: Write the quotient (the result of the division) above the division symbol, on top of the dividend.
  5. Subtract and bring down: Subtract the product of the quotient and the divisor from the dividend and bring down the next digit (if there are any remaining) to the right of the result.
  6. Repeat steps 3 to 5: Keep repeating steps 3 to 5 until there are no more digits to bring down or the result becomes zero.
  7. Final result: Once there are no more digits to bring down, the result obtained above the division symbol is the final quotient.

Dividing single-digit numbers can be done using these step-by-step instructions. By following these guidelines, you can easily divide numbers and obtain accurate results.

How to do 2-digit long division step by step?

Doing 2-digit long division step by step might seem daunting at first, but with practice, it becomes easier. Here are the steps to follow:

Step 1: First, set up the division problem. Write the dividend (the number to be divided) inside a long division symbol, and the divisor (the number you are dividing by) outside the symbol.

For example, let's divide 72 by 4. We write 72 inside the division symbol, and 4 outside the symbol.

Step 2: Determine how many times the divisor can go into the first digit of the dividend. In our example, 4 can go into 7 one time (4 x 1 = 4), so we write 1 above the division symbol, above the 7.

Step 3: Multiply the divisor by the quotient obtained in step 2. In our example, 1 x 4 = 4. Write this product below the 7 in the dividend.

Step 4: Subtract the result obtained in step 3 from the first digit of the dividend. In our example, 7 - 4 = 3. Write this difference below the line, to the right of the 4.

Step 5: Bring down the next digit of the dividend and place it next to the remainder obtained in step 4. In our example, we bring down the 2 and write it next to the 3.

Step 6: Determine how many times the divisor can go into the new number formed (the remainder plus the new digit). In our example, 4 can go into 32 eight times (4 x 8 = 32), so we write 8 above the line, above the 2.

Step 7: Multiply the divisor by the new quotient obtained in step 6. In our example, 8 x 4 = 32. Write this product below the line, below the 32.

Step 8: Subtract the result obtained in step 7 from the new number formed. In our example, 32 - 32 = 0. Since there are no more digits in the dividend, we have our final answer.

Therefore, 72 divided by 4 equals 18. You can verify this by multiplying the quotient (18) by the divisor (4) to get the dividend (72).

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