Question
What is the quotient and remainder when $ 1320 $ is divided by $ 210 $ ?
Answer
The quotient is 6 and the remainder is 60.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | 6 | |||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 2 | ||||
| – | 0 | |||||
| 1 | 3 | 2 | 0 | |||
| – | 1 | 2 | 6 | 0 | ||
| 6 | 0 | |||||
|
STEP 0: set up a division table |
||||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
|
STEP 1: DIVIDE 1 : 210 = 0 with a remainder of 1 |
||||||
| 0 | ||||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
|
STEP 2: MULTIPLY 0 · 210 = 0 |
||||||
| 0 | ||||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| 0 | ||||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||||
| 0 | ||||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
|
STEP 5: DIVIDE 13 : 210 = 0 with a remainder of 13 |
||||||
| 0 | 0 | |||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
|
STEP 6: MULTIPLY 0 · 210 = 0 |
||||||
| 0 | 0 | |||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 13 - 0 = 13 |
||||||
| 0 | 0 | |||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 2 | ||||
|
STEP 9: DIVIDE 132 : 210 = 0 with a remainder of 132 |
||||||
| 0 | 0 | 0 | ||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 2 | ||||
|
STEP 10: MULTIPLY 0 · 210 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 2 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 132 - 0 = 132 |
||||||
| 0 | 0 | 0 | ||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 2 | ||||
| – | 0 | |||||
| 1 | 3 | 2 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 0 | ||||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 2 | ||||
| – | 0 | |||||
| 1 | 3 | 2 | 0 | |||
|
STEP 13: DIVIDE 1320 : 210 = 6 with a remainder of 60 |
||||||
| 0 | 0 | 0 | 6 | |||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 2 | ||||
| – | 0 | |||||
| 1 | 3 | 2 | 0 | |||
|
STEP 14: MULTIPLY 6 · 210 = 1260 |
||||||
| 0 | 0 | 0 | 6 | |||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 2 | ||||
| – | 0 | |||||
| 1 | 3 | 2 | 0 | |||
| 1 | 2 | 6 | 0 | |||
|
STEP 15: SUBTRACT 1320 - 1260 = 60 |
||||||
| 0 | 0 | 0 | 6 | |||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 2 | ||||
| – | 0 | |||||
| 1 | 3 | 2 | 0 | |||
| – | 1 | 2 | 6 | 0 | ||
| 6 | 0 | |||||
|
STEP 15: SUBTRACT 1320 - 1260 = 60 |
||||||
| 0 | 0 | 0 | 6 | |||
| 2 | 1 | 0 | 1 | 3 | 2 | 0 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 2 | ||||
| – | 0 | |||||
| 1 | 3 | 2 | 0 | |||
| – | 1 | 2 | 6 | 0 | ||
| 6 | 0 | |||||
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