Question
What is the quotient and remainder when $ 593 $ is divided by $ 60 $ ?
Answer
The quotient is 9 and the remainder is 53.
Explanation
| Division Table | ||||
| 0 | 0 | 9 | ||
| 6 | 0 | 5 | 9 | 3 |
| – | 0 | |||
| 5 | 9 | |||
| – | 0 | |||
| 5 | 9 | 3 | ||
| – | 5 | 4 | 0 | |
| 5 | 3 | |||
|
STEP 0: set up a division table |
||||
| 6 | 0 | 5 | 9 | 3 |
|
STEP 1: DIVIDE 5 : 60 = 0 with a remainder of 5 |
||||
| 0 | ||||
| 6 | 0 | 5 | 9 | 3 |
|
STEP 2: MULTIPLY 0 · 60 = 0 |
||||
| 0 | ||||
| 6 | 0 | 5 | 9 | 3 |
| 0 | ||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||
| 0 | ||||
| 6 | 0 | 5 | 9 | 3 |
| – | 0 | |||
| 5 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 6 | 0 | 5 | 9 | 3 |
| – | 0 | |||
| 5 | 9 | |||
|
STEP 5: DIVIDE 59 : 60 = 0 with a remainder of 59 |
||||
| 0 | 0 | |||
| 6 | 0 | 5 | 9 | 3 |
| – | 0 | |||
| 5 | 9 | |||
|
STEP 6: MULTIPLY 0 · 60 = 0 |
||||
| 0 | 0 | |||
| 6 | 0 | 5 | 9 | 3 |
| – | 0 | |||
| 5 | 9 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 59 - 0 = 59 |
||||
| 0 | 0 | |||
| 6 | 0 | 5 | 9 | 3 |
| – | 0 | |||
| 5 | 9 | |||
| – | 0 | |||
| 5 | 9 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 6 | 0 | 5 | 9 | 3 |
| – | 0 | |||
| 5 | 9 | |||
| – | 0 | |||
| 5 | 9 | 3 | ||
|
STEP 9: DIVIDE 593 : 60 = 9 with a remainder of 53 |
||||
| 0 | 0 | 9 | ||
| 6 | 0 | 5 | 9 | 3 |
| – | 0 | |||
| 5 | 9 | |||
| – | 0 | |||
| 5 | 9 | 3 | ||
|
STEP 10: MULTIPLY 9 · 60 = 540 |
||||
| 0 | 0 | 9 | ||
| 6 | 0 | 5 | 9 | 3 |
| – | 0 | |||
| 5 | 9 | |||
| – | 0 | |||
| 5 | 9 | 3 | ||
| 5 | 4 | 0 | ||
|
STEP 11: SUBTRACT 593 - 540 = 53 |
||||
| 0 | 0 | 9 | ||
| 6 | 0 | 5 | 9 | 3 |
| – | 0 | |||
| 5 | 9 | |||
| – | 0 | |||
| 5 | 9 | 3 | ||
| – | 5 | 4 | 0 | |
| 5 | 3 | |||
|
STEP 11: SUBTRACT 593 - 540 = 53 |
||||
| 0 | 0 | 9 | ||
| 6 | 0 | 5 | 9 | 3 |
| – | 0 | |||
| 5 | 9 | |||
| – | 0 | |||
| 5 | 9 | 3 | ||
| – | 5 | 4 | 0 | |
| 5 | 3 | |||
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