Question
What is the quotient and remainder when $ 23358 $ is divided by $ 34 $ ?
Answer
The quotient is 687 and the remainder is 0.
Explanation
| Division Table | ||||||
| 0 | 0 | 6 | 8 | 7 | ||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
| – | 2 | 0 | 4 | |||
| 2 | 9 | 5 | ||||
| – | 2 | 7 | 2 | |||
| 2 | 3 | 8 | ||||
| – | 2 | 3 | 8 | |||
| 0 | ||||||
|
STEP 0: set up a division table |
||||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
|
STEP 1: DIVIDE 2 : 34 = 0 with a remainder of 2 |
||||||
| 0 | ||||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
|
STEP 2: MULTIPLY 0 · 34 = 0 |
||||||
| 0 | ||||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| 0 | ||||||
|
STEP 3: SUBTRACT 2 - 0 = 2 |
||||||
| 0 | ||||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
|
STEP 5: DIVIDE 23 : 34 = 0 with a remainder of 23 |
||||||
| 0 | 0 | |||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
|
STEP 6: MULTIPLY 0 · 34 = 0 |
||||||
| 0 | 0 | |||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 23 - 0 = 23 |
||||||
| 0 | 0 | |||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
|
STEP 9: DIVIDE 233 : 34 = 6 with a remainder of 29 |
||||||
| 0 | 0 | 6 | ||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
|
STEP 10: MULTIPLY 6 · 34 = 204 |
||||||
| 0 | 0 | 6 | ||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
| 2 | 0 | 4 | ||||
|
STEP 11: SUBTRACT 233 - 204 = 29 |
||||||
| 0 | 0 | 6 | ||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
| – | 2 | 0 | 4 | |||
| 2 | 9 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 6 | ||||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
| – | 2 | 0 | 4 | |||
| 2 | 9 | 5 | ||||
|
STEP 13: DIVIDE 295 : 34 = 8 with a remainder of 23 |
||||||
| 0 | 0 | 6 | 8 | |||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
| – | 2 | 0 | 4 | |||
| 2 | 9 | 5 | ||||
|
STEP 14: MULTIPLY 8 · 34 = 272 |
||||||
| 0 | 0 | 6 | 8 | |||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
| – | 2 | 0 | 4 | |||
| 2 | 9 | 5 | ||||
| 2 | 7 | 2 | ||||
|
STEP 15: SUBTRACT 295 - 272 = 23 |
||||||
| 0 | 0 | 6 | 8 | |||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
| – | 2 | 0 | 4 | |||
| 2 | 9 | 5 | ||||
| – | 2 | 7 | 2 | |||
| 2 | 3 | |||||
| STEP 16: BRING DOWN | ||||||
| 0 | 0 | 6 | 8 | |||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
| – | 2 | 0 | 4 | |||
| 2 | 9 | 5 | ||||
| – | 2 | 7 | 2 | |||
| 2 | 3 | 8 | ||||
|
STEP 17: DIVIDE 238 : 34 = 7 with a remainder of 0 |
||||||
| 0 | 0 | 6 | 8 | 7 | ||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
| – | 2 | 0 | 4 | |||
| 2 | 9 | 5 | ||||
| – | 2 | 7 | 2 | |||
| 2 | 3 | 8 | ||||
|
STEP 18: MULTIPLY 7 · 34 = 238 |
||||||
| 0 | 0 | 6 | 8 | 7 | ||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
| – | 2 | 0 | 4 | |||
| 2 | 9 | 5 | ||||
| – | 2 | 7 | 2 | |||
| 2 | 3 | 8 | ||||
| 2 | 3 | 8 | ||||
|
STEP 19: SUBTRACT 238 - 238 = 0 |
||||||
| 0 | 0 | 6 | 8 | 7 | ||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
| – | 2 | 0 | 4 | |||
| 2 | 9 | 5 | ||||
| – | 2 | 7 | 2 | |||
| 2 | 3 | 8 | ||||
| – | 2 | 3 | 8 | |||
| 0 | ||||||
|
STEP 19: SUBTRACT 238 - 238 = 0 |
||||||
| 0 | 0 | 6 | 8 | 7 | ||
| 3 | 4 | 2 | 3 | 3 | 5 | 8 |
| – | 0 | |||||
| 2 | 3 | |||||
| – | 0 | |||||
| 2 | 3 | 3 | ||||
| – | 2 | 0 | 4 | |||
| 2 | 9 | 5 | ||||
| – | 2 | 7 | 2 | |||
| 2 | 3 | 8 | ||||
| – | 2 | 3 | 8 | |||
| 0 | ||||||
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