Question
What is the quotient and remainder when $ 215 $ is divided by $ 1451 $ ?
Answer
The quotient is 0 and the remainder is 215.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | ||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 5 | ||||
| – | 0 | |||||
| 2 | 1 | 5 | ||||
|
STEP 0: set up a division table |
||||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
|
STEP 1: DIVIDE 2 : 1451 = 0 with a remainder of 2 |
||||||
| 0 | ||||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
|
STEP 2: MULTIPLY 0 · 1451 = 0 |
||||||
| 0 | ||||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
| 0 | ||||||
|
STEP 3: SUBTRACT 2 - 0 = 2 |
||||||
| 0 | ||||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
| – | 0 | |||||
| 2 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
| – | 0 | |||||
| 2 | 1 | |||||
|
STEP 5: DIVIDE 21 : 1451 = 0 with a remainder of 21 |
||||||
| 0 | 0 | |||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
| – | 0 | |||||
| 2 | 1 | |||||
|
STEP 6: MULTIPLY 0 · 1451 = 0 |
||||||
| 0 | 0 | |||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
| – | 0 | |||||
| 2 | 1 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 21 - 0 = 21 |
||||||
| 0 | 0 | |||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 5 | ||||
|
STEP 9: DIVIDE 215 : 1451 = 0 with a remainder of 215 |
||||||
| 0 | 0 | 0 | ||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 5 | ||||
|
STEP 10: MULTIPLY 0 · 1451 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 5 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 215 - 0 = 215 |
||||||
| 0 | 0 | 0 | ||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 5 | ||||
| – | 0 | |||||
| 2 | 1 | 5 | ||||
|
STEP 11: SUBTRACT 215 - 0 = 215 |
||||||
| 0 | 0 | 0 | ||||
| 1 | 4 | 5 | 1 | 2 | 1 | 5 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 5 | ||||
| – | 0 | |||||
| 2 | 1 | 5 | ||||
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