Question
What is the quotient and remainder when $ 4000 $ is divided by $ 243 $ ?
Answer
The quotient is 16 and the remainder is 112.
Explanation
| Division Table | ||||||
| 0 | 0 | 1 | 6 | |||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 0 | ||||
| – | 2 | 4 | 3 | |||
| 1 | 5 | 7 | 0 | |||
| – | 1 | 4 | 5 | 8 | ||
| 1 | 1 | 2 | ||||
|
STEP 0: set up a division table |
||||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
|
STEP 1: DIVIDE 4 : 243 = 0 with a remainder of 4 |
||||||
| 0 | ||||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
|
STEP 2: MULTIPLY 0 · 243 = 0 |
||||||
| 0 | ||||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| 0 | ||||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||||
| 0 | ||||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
|
STEP 5: DIVIDE 40 : 243 = 0 with a remainder of 40 |
||||||
| 0 | 0 | |||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
|
STEP 6: MULTIPLY 0 · 243 = 0 |
||||||
| 0 | 0 | |||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 40 - 0 = 40 |
||||||
| 0 | 0 | |||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 0 | ||||
|
STEP 9: DIVIDE 400 : 243 = 1 with a remainder of 157 |
||||||
| 0 | 0 | 1 | ||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 0 | ||||
|
STEP 10: MULTIPLY 1 · 243 = 243 |
||||||
| 0 | 0 | 1 | ||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 0 | ||||
| 2 | 4 | 3 | ||||
|
STEP 11: SUBTRACT 400 - 243 = 157 |
||||||
| 0 | 0 | 1 | ||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 0 | ||||
| – | 2 | 4 | 3 | |||
| 1 | 5 | 7 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 1 | ||||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 0 | ||||
| – | 2 | 4 | 3 | |||
| 1 | 5 | 7 | 0 | |||
|
STEP 13: DIVIDE 1570 : 243 = 6 with a remainder of 112 |
||||||
| 0 | 0 | 1 | 6 | |||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 0 | ||||
| – | 2 | 4 | 3 | |||
| 1 | 5 | 7 | 0 | |||
|
STEP 14: MULTIPLY 6 · 243 = 1458 |
||||||
| 0 | 0 | 1 | 6 | |||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 0 | ||||
| – | 2 | 4 | 3 | |||
| 1 | 5 | 7 | 0 | |||
| 1 | 4 | 5 | 8 | |||
|
STEP 15: SUBTRACT 1570 - 1458 = 112 |
||||||
| 0 | 0 | 1 | 6 | |||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 0 | ||||
| – | 2 | 4 | 3 | |||
| 1 | 5 | 7 | 0 | |||
| – | 1 | 4 | 5 | 8 | ||
| 1 | 1 | 2 | ||||
|
STEP 15: SUBTRACT 1570 - 1458 = 112 |
||||||
| 0 | 0 | 1 | 6 | |||
| 2 | 4 | 3 | 4 | 0 | 0 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 0 | |||||
| 4 | 0 | 0 | ||||
| – | 2 | 4 | 3 | |||
| 1 | 5 | 7 | 0 | |||
| – | 1 | 4 | 5 | 8 | ||
| 1 | 1 | 2 | ||||
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