Question
What is the quotient and remainder when $ 160 $ is divided by $ 145 $ ?
Answer
The quotient is 1 and the remainder is 15.
Explanation
| Division Table | |||||
| 0 | 0 | 1 | |||
| 1 | 4 | 5 | 1 | 6 | 0 |
| – | 0 | ||||
| 1 | 6 | ||||
| – | 0 | ||||
| 1 | 6 | 0 | |||
| – | 1 | 4 | 5 | ||
| 1 | 5 | ||||
|
STEP 0: set up a division table |
|||||
| 1 | 4 | 5 | 1 | 6 | 0 |
|
STEP 1: DIVIDE 1 : 145 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 1 | 4 | 5 | 1 | 6 | 0 |
|
STEP 2: MULTIPLY 0 · 145 = 0 |
|||||
| 0 | |||||
| 1 | 4 | 5 | 1 | 6 | 0 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 1 | 4 | 5 | 1 | 6 | 0 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 4 | 5 | 1 | 6 | 0 |
| – | 0 | ||||
| 1 | 6 | ||||
|
STEP 5: DIVIDE 16 : 145 = 0 with a remainder of 16 |
|||||
| 0 | 0 | ||||
| 1 | 4 | 5 | 1 | 6 | 0 |
| – | 0 | ||||
| 1 | 6 | ||||
|
STEP 6: MULTIPLY 0 · 145 = 0 |
|||||
| 0 | 0 | ||||
| 1 | 4 | 5 | 1 | 6 | 0 |
| – | 0 | ||||
| 1 | 6 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 16 - 0 = 16 |
|||||
| 0 | 0 | ||||
| 1 | 4 | 5 | 1 | 6 | 0 |
| – | 0 | ||||
| 1 | 6 | ||||
| – | 0 | ||||
| 1 | 6 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 1 | 4 | 5 | 1 | 6 | 0 |
| – | 0 | ||||
| 1 | 6 | ||||
| – | 0 | ||||
| 1 | 6 | 0 | |||
|
STEP 9: DIVIDE 160 : 145 = 1 with a remainder of 15 |
|||||
| 0 | 0 | 1 | |||
| 1 | 4 | 5 | 1 | 6 | 0 |
| – | 0 | ||||
| 1 | 6 | ||||
| – | 0 | ||||
| 1 | 6 | 0 | |||
|
STEP 10: MULTIPLY 1 · 145 = 145 |
|||||
| 0 | 0 | 1 | |||
| 1 | 4 | 5 | 1 | 6 | 0 |
| – | 0 | ||||
| 1 | 6 | ||||
| – | 0 | ||||
| 1 | 6 | 0 | |||
| 1 | 4 | 5 | |||
|
STEP 11: SUBTRACT 160 - 145 = 15 |
|||||
| 0 | 0 | 1 | |||
| 1 | 4 | 5 | 1 | 6 | 0 |
| – | 0 | ||||
| 1 | 6 | ||||
| – | 0 | ||||
| 1 | 6 | 0 | |||
| – | 1 | 4 | 5 | ||
| 1 | 5 | ||||
|
STEP 11: SUBTRACT 160 - 145 = 15 |
|||||
| 0 | 0 | 1 | |||
| 1 | 4 | 5 | 1 | 6 | 0 |
| – | 0 | ||||
| 1 | 6 | ||||
| – | 0 | ||||
| 1 | 6 | 0 | |||
| – | 1 | 4 | 5 | ||
| 1 | 5 | ||||
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