Division Short and Long This presentation is intended to be used by the parents and students of Mrs. Nicholas SRA Connecting Math Concepts Math program. It is not intended to be a substitute for a research based program. Division Terms 9 Quotient Divisor 7 63 Dividend Short Division basic facts • The answer is part Examples: of the basic fact 7 6 family 8 56 4 24 • No remainder 5 3 2 10 6 18 Short Division with Remainder • Dividend is not a basic fact. • Steps to solve: 1. Determine how close the divisor can get to the dividend without going over. Multiplication charts can help 6 20 2. Write the answer below the dividend. 6 20 18 3. The quotient is the second part of the basic fact family. 3 6 20 *Basic fact: 6 x 3 =18 18 4. Subtract the basic fact answer from the original quotient. 3 6 20 18 5. The subtract answer is the remainder. 3 R 2 6 20 18 Long Division • Long division is a division problem that has multiple digits in the quotient. • Steps to solve are same as short division. You repeat the 4 steps until all digits in the dividend are solved. Long Division Example 2 6 8 8 1. Ask: Can the divisor into the first digit. 2 6 8 8 • Yes 3 4 4 2. Follow steps 1-4 under short division. 2 6 8 8 3. Continue until all digits 6 4 4 have an answer over the dividend. Long Division Special circumstances…that will occur a lot! 1. Ask: Can the divisor into the first 1 digit. 5 5 4 5 • Yes, continue with steps 1-4 5 2. Next digit, start again. Can the divisor go in the next digit. • No. Put a zero above that 1 0 9 number and underline the next digit and ask the 5 5 4 5 question again. 5 45 • Now the answer is yes. Continue with steps 1-4. Zero • Rule to live by: 3 0 4 Anything divided 2 6 0 8 by zero is zero More Long Division • All division rule reviewed so far still apply; however sometimes you will have subtract many different times. • The answer to the subtraction problem is moved to the next digit in the dividend to create a number. • The answer to the final problem is the remainder. Example 1 1 0 7 Step 1 4 4 3 5 9 Step 2 4 4 3 8 9 35 1 0 7 Step 4 1 0 7 9 4 4 3 8 39 Step 5 3 5 4 4 3 8 39 Bring the answer to subtraction 35 36 problem to the next digit in the division problem 1 0 7 9 r 3 Step 6 4 4 3 8 39 35 36 Final reminder • All number in the quotient need to line up with the numbers in the dividend. • Look back at the example problems throughout the presentation..