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What is the quotient and remainder when $ 128 $ is divided by $ 15 $ ?
Answer
The quotient is 8 and the remainder is 8.
Explanation
Division Table
|
| | 0 | 0 | 8 |
1 | 5 | 1 | 2 | 8 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 0 | |
| | 1 | 2 | 8 |
| – | 1 | 2 | 0 |
| | | | 8 |
STEP 0: set up a division table
|
| | | | |
1 | 5 | 1 | 2 | 8 |
STEP 1: DIVIDE 1 : 15 = 0 with a remainder of 1
|
| | 0 | | |
1 | 5 | 1 | 2 | 8 |
STEP 2: MULTIPLY 0 · 15 = 0
|
| | 0 | | |
1 | 5 | 1 | 2 | 8 |
| | 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | |
1 | 5 | 1 | 2 | 8 |
| – | 0 | | |
| | 1 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
1 | 5 | 1 | 2 | 8 |
| – | 0 | | |
| | 1 | 2 | |
STEP 5: DIVIDE 12 : 15 = 0 with a remainder of 12
|
| | 0 | 0 | |
1 | 5 | 1 | 2 | 8 |
| – | 0 | | |
| | 1 | 2 | |
STEP 6: MULTIPLY 0 · 15 = 0
|
| | 0 | 0 | |
1 | 5 | 1 | 2 | 8 |
| – | 0 | | |
| | 1 | 2 | |
| | | 0 | |
STEP 7: SUBTRACT 12 - 0 = 12
|
| | 0 | 0 | |
1 | 5 | 1 | 2 | 8 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 0 | |
| | 1 | 2 | |
STEP 8: BRING DOWN
|
| | 0 | 0 | |
1 | 5 | 1 | 2 | 8 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 0 | |
| | 1 | 2 | 8 |
STEP 9: DIVIDE 128 : 15 = 8 with a remainder of 8
|
| | 0 | 0 | 8 |
1 | 5 | 1 | 2 | 8 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 0 | |
| | 1 | 2 | 8 |
STEP 10: MULTIPLY 8 · 15 = 120
|
| | 0 | 0 | 8 |
1 | 5 | 1 | 2 | 8 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 0 | |
| | 1 | 2 | 8 |
| | 1 | 2 | 0 |
STEP 11: SUBTRACT 128 - 120 = 8
|
| | 0 | 0 | 8 |
1 | 5 | 1 | 2 | 8 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 0 | |
| | 1 | 2 | 8 |
| – | 1 | 2 | 0 |
| | | | 8 |
STEP 11: SUBTRACT 128 - 120 = 8
|
| | 0 | 0 | 8 |
1 | 5 | 1 | 2 | 8 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 0 | |
| | 1 | 2 | 8 |
| – | 1 | 2 | 0 |
| | | | 8 |
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