Here we will show you step-by-step with detailed explanation how to calculate 123 divided by 35 using long division.
Before you continue, note that in the problem 123 divided by 35, the numbers are defined as follows:
123 = dividend
35 = divisor
Step 1:
Start by setting it up with the divisor 35 on the left side and the dividend 123 on the right side like this:
| 3 | 5 | ⟌ | 1 | 2 | 3 |
Step 2:
The divisor (35) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
| 0 | ||||||
| 3 | 5 | ⟌ | 1 | 2 | 3 |
Step 3:
Multiply the divisor by the result in the previous step (35 x 0 = 0) and write that answer below the dividend.
| 0 | ||||||
| 3 | 5 | ⟌ | 1 | 2 | 3 | |
| 0 |
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
| 0 | ||||||
| 3 | 5 | ⟌ | 1 | 2 | 3 | |
| - | 0 | |||||
| 1 |
Step 5:
Move down the 2nd digit of the dividend (2) like this:
| 0 | ||||||
| 3 | 5 | ⟌ | 1 | 2 | 3 | |
| - | 0 | |||||
| 1 | 2 |
Step 6:
The divisor (35) goes into the bottom number (12), 0 time(s). Therefore, put 0 on top:
| 0 | 0 | |||||
| 3 | 5 | ⟌ | 1 | 2 | 3 | |
| - | 0 | |||||
| 1 | 2 |
Step 7:
Multiply the divisor by the result in the previous step (35 x 0 = 0) and write that answer at the bottom:
| 0 | 0 | |||||
| 3 | 5 | ⟌ | 1 | 2 | 3 | |
| - | 0 | |||||
| 1 | 2 | |||||
| 0 |
Step 8:
Subtract the result in the previous step from the number written above it. (12 - 0 = 12) and write the answer at the bottom.
| 0 | 0 | |||||
| 3 | 5 | ⟌ | 1 | 2 | 3 | |
| - | 0 | |||||
| 1 | 2 | |||||
| - | 0 | |||||
| 1 | 2 |
Step 9:
Move down the last digit of the dividend (3) like this:
| 0 | 0 | |||||
| 3 | 5 | ⟌ | 1 | 2 | 3 | |
| - | 0 | |||||
| 1 | 2 | |||||
| - | 0 | |||||
| 1 | 2 | 3 |
Step 10:
The divisor (35) goes into the bottom number (123), 3 time(s). Therefore put 3 on top:
| 0 | 0 | 3 | ||||
| 3 | 5 | ⟌ | 1 | 2 | 3 | |
| - | 0 | |||||
| 1 | 2 | |||||
| - | 0 | |||||
| 1 | 2 | 3 |
Step 11:
Multiply the divisor by the result in the previous step (35 x 3 = 105) and write the answer at the bottom:
| 0 | 0 | 3 | ||||
| 3 | 5 | ⟌ | 1 | 2 | 3 | |
| - | 0 | |||||
| 1 | 2 | |||||
| - | 0 | |||||
| 1 | 2 | 3 | ||||
| 1 | 0 | 5 |
Step 12:
Subtract the result in the previous step from the number written above it. (123 - 105 = 18) and write the answer at the bottom.
| 0 | 0 | 3 | ||||
| 3 | 5 | ⟌ | 1 | 2 | 3 | |
| - | 0 | |||||
| 1 | 2 | |||||
| - | 0 | |||||
| 1 | 2 | 3 | ||||
| - | 1 | 0 | 5 | |||
| 1 | 8 |
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 123 divided by 35 calculated using Long Division is:
3
18 Remainder
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