Sublime Maths Worksheets

Long Division Calculator with Bring-Down arrows

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The Long Division output will appear here...

This super fast Long Division Calculator: Visual Tool is aimed at enhancing the arithmetic learning experience. It offers a step-by-step visual guide that simplifies the process of Long Division, making it understandable for young minds. Whether you're a student seeking to master Long Division, a teacher looking for effective teaching aids, or a parent aiming to support your child's learning journey, the Long Division Calculator: Visual Tool is your go-to resource.

The Long Division result is generated instantly as you enter the dividend or divisor in the calculator area, providing real-time feedback. The tool allows you to customize the solution's precision by selecting the number of decimal places, up to 8.

A standout feature is the tool's unique visual representation of the "Bringing Down Digits" process, elegantly illustrated with intuitive arrows that guide users through each step.

Please note the dividend should be greater than the divisor in this tool.

Explore the Long Division problem and its solution visually, then copy & share the link instantly!

How Long Division Works

Dividend and Divisor: Long Division begins with the dividend (the number to be divided) and the divisor (the number by which the dividend is divided).

Dividing the Digits: Starting from the leftmost digit of the dividend, divide it by the divisor to obtain the quotient.

2
4
6
9
0
9
5
7
5
1
2
3
4
5
4
7
8
9
10
23
20
34
30
45
45
047
45
28
25
39
35
4

Multiplying and Subtracting: Multiply the divisor by the quotient, and subtract the result from the current portion of the dividend.

Bringing Down Digits: Bring down the next digit of the dividend and repeat the process until all digits have been processed.

Finding the Remainder: If there are digits remaining in the dividend after the final subtraction, they constitute the remainder.

Sometimes in this long division method, we need to add zeros to the quotient and bring down consecutive dividend digits. Here's a breakdown of when and how to perform these actions:

Adding Zeros to Quotient: When the divisor is larger than the current portion of the dividend being considered, it's necessary to add a placeholder zero to the quotient. This ensures that the quotient maintains its positional value relative to the dividend.

For example, if the divisor is 12 and the current portion of the dividend is 1, you cannot divide 1 by 12. In this case, you add a zero to the quotient, signifying that the quotient for this step is 0.

3
0
1
0
0
2
1
2
3
6
1
2
0
2
4
36
012
12
0024
24
0

Bringing Down Consecutive Dividend Digits: After subtracting the product of the divisor and quotient from the current portion of the dividend, the next step is to bring down the next digit from the dividend to continue the division process.

For example, if the divisor is 12 and after the first division step, you have a remainder and need to bring down the next digit, you would bring down the next digit of the dividend to form a new number to be divided. In this case, the multiple arrows, that bring down dividend digits, are at the same height.

These steps are repeated iteratively until all digits of the dividend have been processed, resulting in the complete quotient and remainder.

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