Hangman Division (Partial Quotient)

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Presentation transcript:

Hangman Division (Partial Quotient) Easy step by step directions to help with long division…..

Start by setting up the problem like this Start by setting up the problem like this. It looks just like the traditional long division method, except for the long line that is drawn to the right of the divisor. Discuss benchmark numbers… X 1 X 10 X 100 177 8

Ask - How many [8s] are in 177? There are at least 10, so that will be the first partial quotient.. Write on the side 8 x 1 = 8 8 x 10 = 80 8 x 100 = 800

Multiply 10 * 8 8 177 10 80 8 x 1 = 8 8 x 10 = 80 8 x 100 = 800

Subtract 177 minus 80. 8 177 10 - 80 97 8 x 1 = 8 8 x 10 = 80 8 x 100 = 800

Start the process over again. Ask - how many [8s] are in 97? Again, there are at least 10. 8 177 10 - 80 97 10 8 x 1 = 8 8 x 10 = 80 8 x 100 = 800

Multiply 10 * 8. 8 177 10 - 80 97 10 80 8 x 1 = 8 8 x 10 = 80 8 x 100 = 800

Subtract 97 minus 80. 8 177 10 - 80 97 10 - 80 8 x 1 = 8 8 x 10 = 80 8 x 100 = 800 17

Start the process again. Ask - how many [8s] are in 17 Start the process again. Ask - how many [8s] are in 17. There are at least 2. 8 177 10 - 80 97 10 - 80 8 x 1 = 8 8 x 10 = 80 8 x 100 = 800 17 2

Multiply 2 * 8. 8 177 10 - 80 97 10 - 80 8 x 1 = 8 8 x 10 = 80 8 x 100 = 800 17 2 16

Subtract 17 minus 16. 8 177 10 - 80 97 10 - 80 8 x 1 = 8 8 x 10 = 80 8 x 100 = 800 17 2 - 16 1

Since the 1 is less than 8, you are finished Since the 1 is less than 8, you are finished. Now add up the partial quotients - 10 plus 10 plus 2. 8 177 10 - 80 97 10 - 80 8 x 1 = 8 8 x 10 = 80 8 x 100 = 800 17 2 - 16 22 1

Write the answer above with the remainder. You are finished. 22 R1 8 177 10 - 80 97 10 - 80 8 x 1 = 8 8 x 10 = 80 8 x 100 = 800 17 2 - 16 22 1

Let’s try another one….. 843 ÷ 4 Set up the problem

Ask - How many [4s] are in 843? There are at least 100, so that will be the first partial quotient.. Write on the side 4 x 1 = 4 4 x 10 = 40 4 x 100 = 400

843 4 - 400 100 4 x 1 = 4 4 x 10 = 40 4 x 100 = 400 443

843 4 - 400 100 4 x 1 = 4 4 x 10 = 40 4 x 100 = 400 443 100 - 400 43 Start the process over again. Ask - how many [4s] are in 443? There are at least 100 more.

843 4 - 400 100 4 x 1 = 4 4 x 10 = 40 4 x 100 = 400 443 100 - 400 43 10 - 40 3 Start the process over again. Ask - how many [4s] are in 43? There are at least 10 more.

210 r 3 843 4 - 400 100 4 x 1 = 4 4 x 10 = 40 4 x 100 = 400 443 100 - 400 43 10 - 40 3 Since the 3 is less than 4, you are finished. Now add up the partial quotients - 100 +100 + 10 = 210.

Hangman Division (Partial Quotient)