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Question
What is the quotient and remainder when $ 160 $ is divided by $ 136 $ ?
Answer
The quotient is 1 and the remainder is 24.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 |
| 1 | 3 | 6 | 1 | 6 | 0 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 0 |
| | | – | 1 | 3 | 6 |
| | | | | 2 | 4 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 3 | 6 | 1 | 6 | 0 |
STEP 1: DIVIDE 1 : 136 = 0 with a remainder of 1
|
| | | | 0 | | |
| 1 | 3 | 6 | 1 | 6 | 0 |
STEP 2: MULTIPLY 0 · 136 = 0
|
| | | | 0 | | |
| 1 | 3 | 6 | 1 | 6 | 0 |
| | | | 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | | 0 | | |
| 1 | 3 | 6 | 1 | 6 | 0 |
| | | – | 0 | | |
| | | | 1 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 1 | 3 | 6 | 1 | 6 | 0 |
| | | – | 0 | | |
| | | | 1 | 6 | |
STEP 5: DIVIDE 16 : 136 = 0 with a remainder of 16
|
| | | | 0 | 0 | |
| 1 | 3 | 6 | 1 | 6 | 0 |
| | | – | 0 | | |
| | | | 1 | 6 | |
STEP 6: MULTIPLY 0 · 136 = 0
|
| | | | 0 | 0 | |
| 1 | 3 | 6 | 1 | 6 | 0 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | | 0 | |
STEP 7: SUBTRACT 16 - 0 = 16
|
| | | | 0 | 0 | |
| 1 | 3 | 6 | 1 | 6 | 0 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 1 | 3 | 6 | 1 | 6 | 0 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 0 |
STEP 9: DIVIDE 160 : 136 = 1 with a remainder of 24
|
| | | | 0 | 0 | 1 |
| 1 | 3 | 6 | 1 | 6 | 0 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 0 |
STEP 10: MULTIPLY 1 · 136 = 136
|
| | | | 0 | 0 | 1 |
| 1 | 3 | 6 | 1 | 6 | 0 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 0 |
| | | | 1 | 3 | 6 |
STEP 11: SUBTRACT 160 - 136 = 24
|
| | | | 0 | 0 | 1 |
| 1 | 3 | 6 | 1 | 6 | 0 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 0 |
| | | – | 1 | 3 | 6 |
| | | | | 2 | 4 |
STEP 11: SUBTRACT 160 - 136 = 24
|
| | | | 0 | 0 | 1 |
| 1 | 3 | 6 | 1 | 6 | 0 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 0 |
| | | – | 1 | 3 | 6 |
| | | | | 2 | 4 |
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