Question
What is the quotient and remainder when $ 288 $ is divided by $ 4320 $ ?
Answer
The quotient is 0 and the remainder is 288.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | ||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
| – | 0 | |||||
| 2 | 8 | |||||
| – | 0 | |||||
| 2 | 8 | 8 | ||||
| – | 0 | |||||
| 2 | 8 | 8 | ||||
|
STEP 0: set up a division table |
||||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
|
STEP 1: DIVIDE 2 : 4320 = 0 with a remainder of 2 |
||||||
| 0 | ||||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
|
STEP 2: MULTIPLY 0 · 4320 = 0 |
||||||
| 0 | ||||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
| 0 | ||||||
|
STEP 3: SUBTRACT 2 - 0 = 2 |
||||||
| 0 | ||||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
| – | 0 | |||||
| 2 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
| – | 0 | |||||
| 2 | 8 | |||||
|
STEP 5: DIVIDE 28 : 4320 = 0 with a remainder of 28 |
||||||
| 0 | 0 | |||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
| – | 0 | |||||
| 2 | 8 | |||||
|
STEP 6: MULTIPLY 0 · 4320 = 0 |
||||||
| 0 | 0 | |||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
| – | 0 | |||||
| 2 | 8 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 28 - 0 = 28 |
||||||
| 0 | 0 | |||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
| – | 0 | |||||
| 2 | 8 | |||||
| – | 0 | |||||
| 2 | 8 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
| – | 0 | |||||
| 2 | 8 | |||||
| – | 0 | |||||
| 2 | 8 | 8 | ||||
|
STEP 9: DIVIDE 288 : 4320 = 0 with a remainder of 288 |
||||||
| 0 | 0 | 0 | ||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
| – | 0 | |||||
| 2 | 8 | |||||
| – | 0 | |||||
| 2 | 8 | 8 | ||||
|
STEP 10: MULTIPLY 0 · 4320 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
| – | 0 | |||||
| 2 | 8 | |||||
| – | 0 | |||||
| 2 | 8 | 8 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 288 - 0 = 288 |
||||||
| 0 | 0 | 0 | ||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
| – | 0 | |||||
| 2 | 8 | |||||
| – | 0 | |||||
| 2 | 8 | 8 | ||||
| – | 0 | |||||
| 2 | 8 | 8 | ||||
|
STEP 11: SUBTRACT 288 - 0 = 288 |
||||||
| 0 | 0 | 0 | ||||
| 4 | 3 | 2 | 0 | 2 | 8 | 8 |
| – | 0 | |||||
| 2 | 8 | |||||
| – | 0 | |||||
| 2 | 8 | 8 | ||||
| – | 0 | |||||
| 2 | 8 | 8 | ||||
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