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Long Division Calculator – Step-by-Step Division with Remainder

Solve long division problems step by step with our free online long division calculator. See every step of the division process including quotient and remainder – ideal for learning.

Long Division Calculator
Enter dividend and divisor to see the complete long division process.

Long Division Calculator – Step-by-Step Division with Remainder

Long division breaks down complex division problems into manageable steps. This calculator shows every single step of the process, from the first division through the final remainder. It's designed for students learning the method and anyone who needs to understand how division works, not just get an answer.

The calculator handles any positive whole number division. Enter your dividend (the number being divided) and divisor (the number you're dividing by). You'll see the quotient, any remainder, and a complete breakdown of each calculation step with explanations.

Long Division Terms

Dividend

The number being divided. In 847 ÷ 5, the dividend is 847.

Divisor

The number you divide by. In 847 ÷ 5, the divisor is 5.

Quotient

The result of division. In 847 ÷ 5 = 169 R1, the quotient is 169.

Remainder

What's left after division. In 847 ÷ 5 = 169 R1, the remainder is 1.

How Long Division Works

  1. 1

    Divide

    Determine how many times the divisor goes into the current portion of the dividend. Write this digit in the quotient.

  2. 2

    Multiply

    Multiply the divisor by the quotient digit you just found. Write the product below the current dividend.

  3. 3

    Subtract

    Subtract the product from the current dividend. Write the difference below.

  4. 4

    Bring Down

    Bring down the next digit from the original dividend. Combine it with the difference to form a new number.

  5. 5

    Repeat

    Repeat steps 1-4 until you've brought down all digits. The final difference is your remainder.

Worked Examples

Example 1: 84 ÷ 4

8 ÷ 4 = 2 (write 2 in quotient)
2 × 4 = 8, subtract: 8 - 8 = 0
Bring down 4: new dividend is 4
4 ÷ 4 = 1 (write 1 in quotient)
1 × 4 = 4, subtract: 4 - 4 = 0
Answer: 21 R0 (or just 21)

Example 2: 157 ÷ 3

15 ÷ 3 = 5 (write 5 in quotient)
5 × 3 = 15, subtract: 15 - 15 = 0
Bring down 7: new dividend is 7
7 ÷ 3 = 2 (write 2 in quotient)
2 × 3 = 6, subtract: 7 - 6 = 1
Answer: 52 R1

Example 3: 1024 ÷ 8

10 ÷ 8 = 1 (write 1 in quotient)
1 × 8 = 8, subtract: 10 - 8 = 2
Bring down 2: new dividend is 22
22 ÷ 8 = 2 (write 2 in quotient)
2 × 8 = 16, subtract: 22 - 16 = 6
Bring down 4: new dividend is 64
64 ÷ 8 = 8 (write 8 in quotient)
8 × 8 = 64, subtract: 64 - 64 = 0
Answer: 128 R0 (or just 128)

Frequently Asked Questions

What if the divisor doesn't go into the first digit?

Look at the first two digits instead. For example, in 156 ÷ 3, start with 15 ÷ 3, not 1 ÷ 3. The calculator handles this automatically.

Can the remainder be larger than the divisor?

No. If your remainder is larger than the divisor, you made an error. The divisor should go into the remainder at least one more time.

How do I check my long division answer?

Multiply the quotient by the divisor, then add the remainder. You should get the original dividend. The calculator shows this verification automatically.

What if there's a zero in the quotient?

When the divisor doesn't go into the current dividend, write 0 in the quotient and bring down the next digit. For example, 105 ÷ 5 = 21, but 1005 ÷ 5 = 201.

Can I use this for decimal division?

This calculator handles whole number division with remainders. For decimal results, you'd continue the process by adding zeros after a decimal point in the dividend.

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