Long Division Calculator

Long division is the method for dividing larger numbers by hand, and it is one of the trickiest skills to master because it weaves together dividing, multiplying, subtracting and bringing digits down, all in the right order. This calculator does the whole process for you and, more importantly, shows its working. Enter a dividend and a divisor and it returns the quotient and the remainder, then lays out the step-by-step working line by line, exactly as you would write it under the long-division bracket at school. That makes it far more than a quick answer: it is a learning and checking tool. A student can compare their own working against the steps to find precisely where a mistake crept in, a parent can use it to explain the method clearly without dredging up half-remembered rules, and a teacher can generate worked examples on the spot. It is just as useful for everyday division that is awkward to do in your head, like splitting a total into equal shares, working out how many full boxes a quantity makes, or converting between units, with the remainder telling you exactly what is left over. The calculator also reminds you how to express that remainder as a fraction or a decimal, so you can take the answer further if you need to. Because it recalculates instantly, you can try different numbers and watch how the steps change, which builds real understanding rather than reliance. The explanation and worked example below set out the divide, multiply, subtract, bring-down cycle in plain English so you can confidently do long division yourself.

0
quotient
Remainder0
As a decimal0

How it works

The calculator works through the dividend from left to right. It builds up the current number one digit at a time, sees how many whole times the divisor fits, writes that as the next digit of the quotient, subtracts that multiple, and brings down the next digit. When every digit has been used, whatever is left is the remainder. Dividing the remainder by the divisor gives the decimal continuation.

Worked example

Divide 4823 by 7. Seven goes into 48 six times (42), leaving 6; bring down the 2 to make 62. Seven into 62 is eight times (56), leaving 6; bring down the 3 to make 63. Seven into 63 is nine times exactly. The quotient is 689 with a remainder of 0, so 4823 divided by 7 is exactly 689.

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