Division as Repeated Subtraction

Visualize and understand division by repeatedly subtracting the divisor from the dividend.

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Visualization of Repeated Subtraction

StepRemaining Dividend

What is Division as Repeated Subtraction?

Division as repeated subtraction is a method to understand division by subtracting the divisor from the dividend repeatedly until you reach zero or a remainder less than the divisor. The number of times you subtract is the quotient. For example, to divide 15 by 3, you subtract 3 from 15 repeatedly: 15-3=12, 12-3=9, 9-3=6, 6-3=3, 3-3=0. We subtracted 5 times, so the quotient is 5. This tool helps visualize this process, making it easier to grasp the concept of division, especially for beginners. It's a foundational concept in arithmetic and useful for understanding the relationship between division and subtraction.