Question
What is the quotient and remainder when $ 530 $ is divided by $ 10 $ ?
Answer
The quotient is 53 and the remainder is 0.
Explanation
| Division Table | ||||
| 0 | 5 | 3 | ||
| 1 | 0 | 5 | 3 | 0 |
| – | 0 | |||
| 5 | 3 | |||
| – | 5 | 0 | ||
| 3 | 0 | |||
| – | 3 | 0 | ||
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 0 | 5 | 3 | 0 |
|
STEP 1: DIVIDE 5 : 10 = 0 with a remainder of 5 |
||||
| 0 | ||||
| 1 | 0 | 5 | 3 | 0 |
|
STEP 2: MULTIPLY 0 · 10 = 0 |
||||
| 0 | ||||
| 1 | 0 | 5 | 3 | 0 |
| 0 | ||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||
| 0 | ||||
| 1 | 0 | 5 | 3 | 0 |
| – | 0 | |||
| 5 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 0 | 5 | 3 | 0 |
| – | 0 | |||
| 5 | 3 | |||
|
STEP 5: DIVIDE 53 : 10 = 5 with a remainder of 3 |
||||
| 0 | 5 | |||
| 1 | 0 | 5 | 3 | 0 |
| – | 0 | |||
| 5 | 3 | |||
|
STEP 6: MULTIPLY 5 · 10 = 50 |
||||
| 0 | 5 | |||
| 1 | 0 | 5 | 3 | 0 |
| – | 0 | |||
| 5 | 3 | |||
| 5 | 0 | |||
|
STEP 7: SUBTRACT 53 - 50 = 3 |
||||
| 0 | 5 | |||
| 1 | 0 | 5 | 3 | 0 |
| – | 0 | |||
| 5 | 3 | |||
| – | 5 | 0 | ||
| 3 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 5 | |||
| 1 | 0 | 5 | 3 | 0 |
| – | 0 | |||
| 5 | 3 | |||
| – | 5 | 0 | ||
| 3 | 0 | |||
|
STEP 9: DIVIDE 30 : 10 = 3 with a remainder of 0 |
||||
| 0 | 5 | 3 | ||
| 1 | 0 | 5 | 3 | 0 |
| – | 0 | |||
| 5 | 3 | |||
| – | 5 | 0 | ||
| 3 | 0 | |||
|
STEP 10: MULTIPLY 3 · 10 = 30 |
||||
| 0 | 5 | 3 | ||
| 1 | 0 | 5 | 3 | 0 |
| – | 0 | |||
| 5 | 3 | |||
| – | 5 | 0 | ||
| 3 | 0 | |||
| 3 | 0 | |||
|
STEP 11: SUBTRACT 30 - 30 = 0 |
||||
| 0 | 5 | 3 | ||
| 1 | 0 | 5 | 3 | 0 |
| – | 0 | |||
| 5 | 3 | |||
| – | 5 | 0 | ||
| 3 | 0 | |||
| – | 3 | 0 | ||
| 0 | ||||
|
STEP 11: SUBTRACT 30 - 30 = 0 |
||||
| 0 | 5 | 3 | ||
| 1 | 0 | 5 | 3 | 0 |
| – | 0 | |||
| 5 | 3 | |||
| – | 5 | 0 | ||
| 3 | 0 | |||
| – | 3 | 0 | ||
| 0 | ||||
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