Enter a divisor & dividend — supports decimals like 73 ÷ 6.865.
Divisor
Dividend
Long Division — Everything You Need to Know
From the basics to step-by-step examples with remainders.
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What is Long Division?
Long division is a method for dividing large numbers by breaking the problem into a sequence of easier steps. Instead of trying to divide everything at once, you work digit-by-digit from left to right, carrying any leftover value forward to the next step — just like unpacking a big box one item at a time.
🔢Works on any size number
📝Shows every step clearly
♻️Handles remainders naturally
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What is a Long Division Calculator?
A long division calculator is a tool that performs long division automatically and shows every intermediate step — just as you would write it on paper. It is especially useful for:
Checking your own manual work instantly
Learning the method by studying each step
Handling decimal divisors that would be tedious by hand
Saving time on homework or real-world calculations
💡 Our calculator above also handles decimal divisors like 73 ÷ 6.865 by scaling both numbers to whole integers automatically.
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What Are the Parts of Division?
Every division problem has four key parts. Using the example 13 ÷ 4 = 3 R1:
Dividend
The number being divided
100 in 100 ÷ 4
Divisor
The number you divide by
4 in 100 ÷ 4
Quotient
The result of the division
25 in 100 ÷ 4 = 25
Remainder
What is left over after dividing
1 in 13 ÷ 4 = 3 R1
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How to Do Long Division With Remainders
Long division follows a simple 4-step cycle that you repeat for each digit of the dividend. Remember it with the acronym D–M–S–B:
D
Divide
How many times does the divisor fit into the current partial dividend?
M
Multiply
Multiply the quotient digit by the divisor.
S
Subtract
Subtract the result from the partial dividend.
B
Bring Down
Bring the next digit of the dividend down to form the new partial.
🔁 Repeat the D–M–S–B cycle for every digit. When there are no more digits to bring down, whatever is left over is your remainder.
3 Popular Examples — Step by Step
A classic 3-digit ÷ 1-digit with a remainder.
7100= 14 R2|Quotient: 14 Remainder: 2
1
How many times does 7 go into 1?
7 > 1, so 0 times. Write 0 above the 1.
2
Bring down the next digit → 10
7 goes into 10 once (7 × 1 = 7). Write 1 above. Subtract: 10 − 7 = 3.
3
Bring down the next digit → 30
7 goes into 30 four times (7 × 4 = 28). Write 4 above. Subtract: 30 − 28 = 2.