Long Division Solver with Steps – Clear, Step-by-Step Guide (2025)

What Does “Solver with Steps” Mean?

A solver with steps doesn’t just give the final answer—it shows every stage of the calculation. You’ll see which digit is brought down, how each quotient digit is chosen, and how remainders change. It’s the fastest way to learn and verify answers.

Long Division: Step-by-Step Rules

1. Set up the problem: Dividend inside the bracket, divisor outside. Line up place values.
2. Divide: How many times does the divisor fit into the current digits?
3. Multiply: Multiply that quotient digit by the divisor.
4. Subtract: Subtract to find the new remainder.
5. Bring down: Bring down the next digit and repeat until no digits remain.
6. Decimals: If there’s a remainder, add a decimal and zeros to keep going. Mark repeating digits with parentheses, e.g., 0.(3).

Worked Example #1 — 1,256 ÷ 12

1. 12 ⟌ 1,256 → 12 goes into 125 → 10 times (since 10×12=120). Write 10’s digit 1 over the 5.
2. Multiply: 10×12=120. Subtract: 125−120=5. Bring down 6 → 56.
3. 12 goes into 56 → 4 times. Multiply 4×12=48. Subtract: 56−48=8.

Result: Quotient = 104, Remainder = 8

Decimal form: 104.6(6)

Worked Example #2 — 987 ÷ 4

1. 4 goes into 9 → 2 (remainder 1). Bring down 8 → 18.
2. 4 goes into 18 → 4 (remainder 2). Bring down 7 → 27.
3. 4 goes into 27 → 6 (remainder 3).

Result: Quotient = 246, Remainder = 3

Decimal: add a decimal and a 0 → 30 ÷ 4 = 7 remainder 2 → 246.75

Worked Example #3 — 12.48 ÷ 0.6 (Decimals)

1. Clear the divisor’s decimal: 0.6 → 6 (shift one place). Shift the dividend one place too: 12.48 → 124.8.
2. Compute 124.8 ÷ 6. Place the decimal in the quotient directly above the decimal in 124.8.

Answer: 20.8

Negatives & Signs

• Divide absolute values using the same steps.
• Apply the sign at the end: different signs → negative result; same signs → positive result.

Common Mistakes (and Easy Fixes)

• Placing the decimal late: Put it in the quotient as soon as you pass the decimal point in the (shifted) dividend.
• Skipping “bring down”: Every cycle should end by bringing down the next digit (if any).
• Stopping with a remainder: If decimals are required, add zeros and keep going.
• Not spotting repeats: A repeating remainder means repeating digits—use parentheses like 0.(142857).

FAQ: Long Division Solver with Steps

Does this method work for any whole numbers?

Yes. The divide–multiply–subtract–bring down cycle works for all whole-number division problems.

How do I handle decimals?

If the divisor has a decimal, shift both numbers right the same number of places to make the divisor an integer. Then divide as usual and place the decimal in the quotient accordingly.

What if my answer repeats?

When a remainder repeats, the decimal digits repeat. Mark the repeating block in parentheses, like 0.(3) or 1.2(54).

How can I check my answer?

Multiply quotient × divisor and add the remainder. If it equals the dividend, the work is correct.

Can I use this with negatives?

Yes. Divide absolute values using the same steps, then apply the sign at the end.