Long Division – Full Step-by-Step Method
Long division is used when the divisor has two or more digits. It uses the same logic as short division but writes out each step in full so you can track every calculation.
The Steps
- Divide: How many times does the divisor go into the current portion of the dividend?
- Multiply: Multiply your answer by the divisor.
- Subtract: Subtract from the current portion.
- Bring down: Bring down the next digit and repeat.
Worked Example 1: 756 ÷ 12
Every cycle of divide → multiply → subtract → bring down is shown in full below.
Worked Example 2: 5,824 ÷ 23
A four-digit dividend demonstrates how the same four steps repeat across multiple cycles, including a non-zero remainder.
Try It Yourself
Enter any dividend and divisor to see the complete long division worked out step by step.
÷
Key Takeaways
- Divide, multiply, subtract, bring down — repeat.
- Always check by multiplying quotient by divisor and adding the remainder.
- If a step has a zero quotient, write 0 and continue.
Practice Questions
- Calculate 408 ÷ 12.
- Calculate 651 ÷ 21.
- Calculate 2,816 ÷ 16.
- Calculate 7,245 ÷ 35.
- A farmer packs 1,224 eggs into boxes of 18. How many boxes?