Stress-Free Long Division

Stress-Free Long Division

Parts of Divsion

• Quotient

• Divisor

• Dividend

• Remainder

Method 1: Standard Algorithm

"Old School"

How to Divide

• Start on the left:

  Step 1: "How many times?"

• Step 2: "Multiply"

• Step 3: "Subtract"

• Step 4: "Drop it down"

• Repeat...

How to Divide

• Step 1: "How many times?"

• Step 2: "Multiply"

• Step 3: "Subtract"

• Step 4: "Drop it down"

• Repeat...

How to Divide

• Step 1: "How many times?"

• Step 2: "Multiply"

• Step 3: "Subtract"

• Step 4: "Drop it down"

• Repeat...

How to Divide

• Can you repeat again?

• Does 7 go into 4?

• This is your remainder

Final answer...

64, remainder 4

Multiple Choice

What is 756 ÷ 9?

• 82

• 83

• 84

• 85

Poll

Do you understand how to do standard algorithm division?

• yes

• I have a question

• I need more practise

Distributive Division

"New School"

Yesterday, we learned about "distributing" numbers.

• 13 = 10 + 3

• 132 = 100 + 30 + 2

• 1325 = 1000 + 300 + 20 + 5

 $256\ \div\ 13$  

• The only numbers you need to divide by are 10, 5, 2, and 1!

• THINK: Can you put 13 into 256: 10, 5, 2, or 1 times? Start largest to smallest!

• YES - 13 x 10 < 256

 $256\ \div\ 13$  

• 10 x 13 = 130

• Put 130 under 256, and subtract

 $256\ \div\ 13$  

• Subtract!

• 256 - 130 = 126

• Does 13 fit into 130: 10, 5, 2, or 1 times?

• 13 x 10 > 126 (NO!)

• 13 x 5 < 126 (YES!)

 $256\ \div\ 13$  

• 5 x 13 = 65

• Put 65 under 125, and subtract

 $256\ \div\ 13$  

• Subtract!

• Does 13 fit into 65: 10, 5, 2, or 1 times?

• 10 x 13 > 61? (NO!)

• 5 x 13 > 61? (NO!)

• 2 x 13 < 61? (YES!)

 $256\ \div\ 13$  

• 2 x 13 = 26

• Put 26 under 61, and subtract

 $256\ \div\ 13$  

• Subtract!

• Does 13 fit into 35: 10, 5, 2, or 1 times?

• 10 x 13 > 26? (NO!)

• 5 x 13 > 26? (NO!)

• 2 x 13 < 26? (YES!)

 $256\ \div\ 13$  

• 2 x 13 = 26

• Put 26 under 35, and subtract

 $256\ \div\ 13$  

• Subtract!

• Does 13 fit into 9: 10, 5, 2, or 1 times?

• 10 x 13 > 9 (NO!)

• 5 x 13 > 9 (NO!)

• 2 x 13 > 9 (NO!)

• 1 x 13 > 9 (NO!)

• SO...this means that we have 9 as a remainder!

 $256\ \div\ 13$  

• Add up the numbers on the right...

• 10 + 5 + 2 + 2 = 19

• We have 9 left over

• We are dividing by 13, so our remainder is 9/13

• Our final answer is 19 - 9/13

Poll

What method did you use?

• Old School

• New School

Poll

Which method do you prefer?

• Old school

• New School