Partial Quotients
Partial Quotients Partial – means a portion of; not a whole Allows for portions of the quotient (answer) to be solved Must add each partial quotient together to get the final quotient (answer) Use an easy factor such as 10 to help
Let’s Take a Look 356 - 90 9 x 10 266 176 86 - 81 9 x 9 5 Multiply the divisor by ten and subtract from the dividend. Make sure to write what operation you did so you do not forget! Continue to do the above steps until you can not use the same factor or until the difference is less than the divisor.
Now What? 356 - 90 9 x 10 266 176 86 - 81 9 x 9 5 Since the difference results in 5 and that is less than 9 we can not create another group. 5 will be our remainder. Now add the partial quotients together to get your quotient. These are the numbers that you will add together!
Your Almost Done! 39 r 356 - 90 9 x 10 266 176 86 - 81 9 x 9 5 Add 10 + 10 + 10 + 9 = 39 Do not forget the remainder!
Check Your Work! 39 r 5 9 356 - 90 9 x 10 266 176 86 - 81 9 x 9 5 Multiply the quotient by the divisor Then add the remainder. Did you get quotient? You should have! X ______ 351 + 5 356