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177 8 Start by setting up the problem like this. It looks just like the traditional long division...

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177 8 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.
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Page 1: 177 8 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.

1778

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.

Page 2: 177 8 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.

1778

Ask - How many [8s] are in 177? There are at least 10, so that will be the first partial quotient.

Notice that you could pick other partial quotients here. You could have started with 20, or even a lower number like 5.

A good tip is to start with easy multiples, like 10, 20, 50, or 100.

10

Page 3: 177 8 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.

1778

Multiply 10 * 8

10 80

Page 4: 177 8 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.

1778

Subtract 177 minus 80.

10 80 97

-

Page 5: 177 8 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.

1778

Start the process over again. Ask - how many [8s] are in 97?

Again, there are at least 10.

10 80 97

-

10

Page 6: 177 8 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.

1778

Multiply 10 * 8.

10 80 97 80

-

10

Page 7: 177 8 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.

1778

Subtract 97 minus 80.

10 80 97 80

17

-

10-

Page 8: 177 8 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.

1778

Start the process again. Ask - how many [8s] are in 17. There are at least 2.

10 80 97 80

17

-

10-

2

Page 9: 177 8 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.

1778

Multiply 2 * 8.

10 80 97 80

17 16

-

10-

2

Page 10: 177 8 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.

1778

Subtract 17 minus 16.

10 80 97 80

17 16 1

-

10-

2-

Page 11: 177 8 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.

1778

Since the 1 is less than 8, you are finished. Now add up the partial quotients - 10 plus 10 plus 2.

10 80 97 80

17 16 1

-

10-

2-

22

Page 12: 177 8 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.

1778

Write the answer above with the remainder.

You are finished.

10 80 97 80

17 16 1

-

10-

2-

22

22 R1

Page 13: 177 8 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.

1778

Notice that you could have done the problem differently by picking different partial quotients. You could have completed the problem in fewer steps by picking partial quotients that were closer to the answer.

Here, the student starts with a partial quotient of 20.

Page 14: 177 8 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.

1778 20

Page 15: 177 8 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.

1778

Multiply 20 * 8

20160

Page 16: 177 8 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.

1778

Subtract 177 minus 160.

20160 17

-

Page 17: 177 8 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.

1778

Start the process over again. Ask - how many [8s] are in 17?

There are at least 2.

20160 17

-

2

Page 18: 177 8 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.

1778

Multiply 2 * 8.

20160 17

-

2 16

Page 19: 177 8 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.

1778

Subtract 17 minus 16.

20160 17

-

2 16

-

1

Page 20: 177 8 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.

1778

Since the 1 is less than 8, you are finished. Now add up the partial quotients - 20 plus 2.

20160 17

-

2 16

-

122

Page 21: 177 8 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.

1778

Write the answer above with the remainder.

You are finished.

20160 17

-

2 16

-

122

22 R1


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