Division using Partial Quotient Calculator

Division using partial quotients is almost related to dividing using repeated subtraction. A partial quotient relates to a method utilized in determining large division mathematical problems. A partial quotient method is an alternative for the traditional long division method. To make multi-digit division simple and easy to understand and perform we use this partial quotient division method.

Step by step guide to do partial division is compiled in the further sections, have a glance at the detailed steps, and learn how to divide using the partial quotient method easily.

The partial quotients method uses repeated subtraction logic to solve simple division questions. By following the three simple steps which are listed here can make your math division calculations very easy manually. So, Divide using the partial quotient method and get the result within no time.

1. Subtract from the dividend an easy multiple (like 100x, 300x, 40x, etc., which are in multiples of 10) of the divisor.
2. Repeat the subtraction until the large number has been reduced to zero or the remainder is less than the divisor.
3. Add up the partial quotients multipliers that were used in the repeated subtraction to find the answer of the division.

Example:

Use partial quotients to divide 596 by 5

Solution:

Given dividend and divisor values are 596, 5

Now, let's start solving division using the partial quotient division method in a stepwise manner.

Step-1: First, subtract the greater multiples of the divisor. Now, consider using partial quotients ie., repeated subtraction, so we have to subtract 5 one hundred times from the dividend. Then, see what is the use of the divide using partial quotients.

Step-2: Subtract lesser multiples of the divisor.

Step-3: Finally, Add the partial quotients and that's it you will get the result for the division of 596 by 5 using partial quotient/repeated subtraction method.

The calculation for the steps to divide 596 by 5 using the partial quotient is shown here:

Now, subtract 45 minus 46 and the remainder will be 1.

On adding the all partial quotients, we get the single quotient of the number = 100+10+9 =119.

∴ The result of the division of 596/5 is 119 with a remainder of 1. ⇒ Division of 596/5 using Partial Quotient is 119 r 1.

Below are the simple steps on how to use the Division Using Partial Quotient Calculator. Follow these guidelines and get the outcome for the division of numbers using the Partial Quotient division method in less time. The steps are as follows,

• Enter the numerator and denominator separated by the / symbol in the input field given in the calculator.
• Thereafter, click on the arrow button or enter button to get the final partial quotient values and remainder.
• Lastly, you will obtain the result displayed on the screen along with an elaborative explanation.

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