To do partial quotient division follow these steps
- Set up the division problem
- Estimate the partial quotient
- Multiply the partial quotient by the divisor
- Subtract the product from the dividend
- Bring down the next digit
- Repeat the process
- Write the final quotient
- Check the remainder
What is Partial quotient division?
Partial quotient division is a method of long division that involves breaking down the dividend into partial quotients to simplify the division process.
Step 1: Set up the division problem.
Write the dividend (the number being divided) inside the division bar and the divisor (the number you are dividing by) outside the division bar. Leave space for the quotient (the result of division) above the division bar.
Step 2: Estimate the partial quotient.
Look at the leftmost digits of the dividend and the divisor. Estimate how many times the divisor can be divided into these digits without exceeding the dividend. This estimate is the partial quotient.
Step 3: Multiply the partial quotient by the divisor.
Multiply the partial quotient by the divisor to find the product.
Step 4: Subtract the product from the dividend.
Subtract the product obtained in the previous step from the current portion of the dividend. Write the difference below the line.
Step 5: Bring down the next digit.
Bring down the next digit (or digits) of the dividend to the right of the difference obtained in the previous step.
Step 6: Repeat the process.
Repeat steps 2 to 5 until all digits of the dividend have been brought down. Keep estimating partial quotients, multiplying, subtracting, and bringing down digits until the entire dividend has been processed.
Step 7: Write the final quotient.
The final quotient is obtained by combining all the partial quotients obtained in the previous steps.
Step 8: Check the remainder.
After completing the division, check if there is a remainder. If there is, you can express it as a fraction or decimal, depending on the desired form of the quotient.