Long Division

Step 5: Repeat or Remainder Overview Long division is as simple as memorizing the people in this family. Each person represents a step in the division process. Dad Mom Sister Brother Step 1: Divide Step 2: Multiply Step 3: Subtract Step 4: Bring Down Rover Step 5: Repeat or Remainder

4 2 ) 9 4 7 Step 1: Divide Divide the first number in the dividend by the divisor 2 ) 9 4 7 Write that quotient directly above dividend digit into which you just divided. How many 2’s will go into 9?

Step 2: Multiply 4 Multiply the divisor and the first number in the quotient. 2 ) 9 4 7 8 Write the product directly under the the dividend digit into which you just divided. 2 x 4 = ?

Step 3: Subtract 4 Subtract the product from dividend digit into which you just divided. 2 ) 9 4 7 8 Draw an equal sign under the 8. 1 Write a subtraction sign next to the 8. Write the difference directly below the product. 9 - 8 = ?

Step 4: Bring Down 4 Bring down the number in the dividend to the right of the first number used. 2 ) 9 4 7 8 Write an arrow under the 4. Bring the next number in the dividend down next to the difference. 1 4

Step 5: Repeat or Remainder 2) 9 4 7 4 1 8 This is where you decide whether to repeat the 5 steps of division. If the divisor can divide into the new number, or if there are numbers in the dividend that have not been brought down, repeat the 5 steps of division.

4 7 2) 9 4 7 8 1 Step 1: Divide Divide the new number by the divisor Write that quotient directly above dividend digit into which you just divided. How many 2’s will go into 14?

Step 2: Multiply 2) 9 4 7 4 1 8 7 Multiply the divisor and the next number in the quotient. Write the product directly under the the number created when the last digit was brought down. 1 4 2 x 7 = ?

Step 3: Subtract 2) 9 4 7 4 1 8 7 Subtract the product from the number created when the last digit was brought down. Draw an equal sign under the 14. Write a subtraction sign next to the 14. 1 4 Write the difference directly below the product. 14 - 14 = ?

Step 4: Bring Down 7 1 4 2) 9 4 7 8 Bring down the next number in the dividend. Write an arrow under the the next number in the dividend. Bring the next number in the dividend down next to the difference. 7

Step 5: Repeat or Remainder 7 1 4 2) 9 4 7 8 Decide whether to repeat the 5 steps of division. If the divisor can divide into the new number, or if there are numbers in the dividend that have not been brought down, repeat the 5 steps of division. 7

Step 1: Divide 7 1 4 2) 9 4 7 8 3 Divide the new number by the divisor Write that quotient directly above dividend digit into which you just divided. 7 How many 2’s will go into 7?

Step 2: Multiply 7 1 4 2) 9 4 7 8 3 Multiply the divisor and the next number in the quotient. Write the product directly under the the last digit brought down. 7 6 2 x 3 = ?

Step 3: Subtract 7 1 4 2) 9 4 7 8 3 Subtract the product from the number created when the dividend digit was brought down. Draw an equal sign under the 6. 7 Write a subtraction sign next to the 6. Write the difference directly below the product. 6 7 - 6 = ? 1

Step 4: Bring Down 1 6 3 7 4 2) 9 4 7 8 Bring down the next number in the dividend. If there are no numbers in the dividend left to bring down, move to step 5.

Step 5: Repeat or Remainder 7 1 4 2) 9 4 7 8 3 R1 Decide whether to repeat the 5 steps of division. If the divisor cannot divide into the new number, or if there are no numbers in the dividend that have not been brought down, the difference becomes the remainder. 7 6 Write an “R” and the remainder next to the last digit in the quotient. 1

7 1 4 2) 9 4 7 8 3 R1 You did it! YEAH BABY 7 Nice work! 6 1 YAAAASSS

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