Long Division

Long Division Mr. B has 70 cookies. He wants to split them up between his 3 students. How many cookies will each student get?

3 70 Long Division To find the answer, we must divide! The quotient goes here. 3 70 Dividend Divisor

Long Division Follow the STEPS! Ask yourself: DOES MCDONALD’S SELL CHEESE BURGERS?

Long Division DIVIDE MULTIPLY SUBTRACT CHECK BRING DOWN

2 3 70 Long Division DIVIDE Ask: How many times does 3 go into 7? What number can we multiply by 3 to get as close as possible to 7? 2!! 2 x 3 = 6. This 2 now goes on the ‘roof’. 2 3 70

2 3 70 6 Long Division MULTIPLY Multiply the answer from the previous step to the divisor. That number goes under the dividend. 3 70 6

2 3 70 6 1 Long Division SUBTRACT Subtract the product from the previous step. 3 70 6 1

Long Division CHECK 2 Check if there are any more digits in the dividend. In this case, there is still the ‘0.’ If there are no more digits, you are finished with the problem. 3 70 6 1

2 3 70 6 10 Long Division Bring Down Bring down the ‘0’ so it is next to the ‘1’. Then, repeat the process back to the first step for the new number at the bottom of the problem. Do this until there are no more numbers remaining. 3 70 6 10

23 3 70 6 10 Long Division Finishing up…. How many times does 3 go into 10? Ask: What number can I multiply by 3 to get as close to 10 as possible. 3! 3 x 3 = 9 So, we put a 3 on the ‘roof,’ next to the 2. 3 70 6 10

Long Division 23 Repeat the multiplication step. 3 x 3 = 9 3 70 6 10 9

Long Division 23 Repeat the subtraction step. 10 - 9 = 1 3 70 6 10 9 1

Long Division 23 3 70 6 10 9 1 Repeat the Check step Ask: Are there any numbers left in dividend? If not, then the answer to the previous subtraction problem becomes the ‘remainder.’ And the problem is complete. 3 70 6 10 9 1

Long Division 23 3 70 6 10 9 1 The final answer is: 23 with a remained of 1. This can be written as 23 r1. 3 70 6 10 9 1

Practice Problems 4 95 5 77 6 83 2 531 8 88 3 7153 4 901 3 771

Homework 8 309 6 76 2 59 7 167 7 137 2 67 5 86 2 47