Question
What is the quotient and remainder when $ 8456 $ is divided by $ 241 $ ?
Answer
The quotient is 35 and the remainder is 21.
Explanation
| Division Table | ||||||
| 0 | 0 | 3 | 5 | |||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 7 | 2 | 3 | |||
| 1 | 2 | 2 | 6 | |||
| – | 1 | 2 | 0 | 5 | ||
| 2 | 1 | |||||
|
STEP 0: set up a division table |
||||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
|
STEP 1: DIVIDE 8 : 241 = 0 with a remainder of 8 |
||||||
| 0 | ||||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
|
STEP 2: MULTIPLY 0 · 241 = 0 |
||||||
| 0 | ||||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| 0 | ||||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
||||||
| 0 | ||||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
|
STEP 5: DIVIDE 84 : 241 = 0 with a remainder of 84 |
||||||
| 0 | 0 | |||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
|
STEP 6: MULTIPLY 0 · 241 = 0 |
||||||
| 0 | 0 | |||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 84 - 0 = 84 |
||||||
| 0 | 0 | |||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
|
STEP 9: DIVIDE 845 : 241 = 3 with a remainder of 122 |
||||||
| 0 | 0 | 3 | ||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
|
STEP 10: MULTIPLY 3 · 241 = 723 |
||||||
| 0 | 0 | 3 | ||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| 7 | 2 | 3 | ||||
|
STEP 11: SUBTRACT 845 - 723 = 122 |
||||||
| 0 | 0 | 3 | ||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 7 | 2 | 3 | |||
| 1 | 2 | 2 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 3 | ||||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 7 | 2 | 3 | |||
| 1 | 2 | 2 | 6 | |||
|
STEP 13: DIVIDE 1226 : 241 = 5 with a remainder of 21 |
||||||
| 0 | 0 | 3 | 5 | |||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 7 | 2 | 3 | |||
| 1 | 2 | 2 | 6 | |||
|
STEP 14: MULTIPLY 5 · 241 = 1205 |
||||||
| 0 | 0 | 3 | 5 | |||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 7 | 2 | 3 | |||
| 1 | 2 | 2 | 6 | |||
| 1 | 2 | 0 | 5 | |||
|
STEP 15: SUBTRACT 1226 - 1205 = 21 |
||||||
| 0 | 0 | 3 | 5 | |||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 7 | 2 | 3 | |||
| 1 | 2 | 2 | 6 | |||
| – | 1 | 2 | 0 | 5 | ||
| 2 | 1 | |||||
|
STEP 15: SUBTRACT 1226 - 1205 = 21 |
||||||
| 0 | 0 | 3 | 5 | |||
| 2 | 4 | 1 | 8 | 4 | 5 | 6 |
| – | 0 | |||||
| 8 | 4 | |||||
| – | 0 | |||||
| 8 | 4 | 5 | ||||
| – | 7 | 2 | 3 | |||
| 1 | 2 | 2 | 6 | |||
| – | 1 | 2 | 0 | 5 | ||
| 2 | 1 | |||||
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