Long Division Calculator
Perform long division step by step showing the complete process with quotient, remainder, and decimals.
Division Expression
125 ÷ 7
Quotient
17
Remainder
6
Decimal Result
17.857142
Verification
Quotient × Divisor + Remainder = Dividend
(17 × 7) + 6 = 125
✓ Correct
Calculation Steps
1.12 ÷ 7 = 1 (7), remainder 5
2.55 ÷ 7 = 7 (49), remainder 6
Alternative Forms
Mixed Number176/7
Fraction125/7
Decimal17.857142
What is Long Division?
Long division is a method for dividing large numbers that breaks down the division into simpler steps. It shows the complete process including quotient and remainder.
How to Perform Long Division
Follow four steps: Divide (how many times does the divisor fit), Multiply (divisor by quotient digit), Subtract (from partial dividend), Bring down (the next digit). Repeat until done.
Applications
Long division is used when calculators are not available, in polynomial division, and to understand the relationship between divisor, dividend, quotient, and remainder.