Question
What is the quotient and remainder when $ 17500 $ is divided by $ 43 $ ?
Answer
The quotient is 406 and the remainder is 42.
Explanation
| Division Table | ||||||
| 0 | 0 | 4 | 0 | 6 | ||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
| – | 1 | 7 | 2 | |||
| 3 | 0 | |||||
| – | 0 | |||||
| 3 | 0 | 0 | ||||
| – | 2 | 5 | 8 | |||
| 4 | 2 | |||||
|
STEP 0: set up a division table |
||||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
|
STEP 1: DIVIDE 1 : 43 = 0 with a remainder of 1 |
||||||
| 0 | ||||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
|
STEP 2: MULTIPLY 0 · 43 = 0 |
||||||
| 0 | ||||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| 0 | ||||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||||
| 0 | ||||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
|
STEP 5: DIVIDE 17 : 43 = 0 with a remainder of 17 |
||||||
| 0 | 0 | |||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
|
STEP 6: MULTIPLY 0 · 43 = 0 |
||||||
| 0 | 0 | |||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 17 - 0 = 17 |
||||||
| 0 | 0 | |||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
|
STEP 9: DIVIDE 175 : 43 = 4 with a remainder of 3 |
||||||
| 0 | 0 | 4 | ||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
|
STEP 10: MULTIPLY 4 · 43 = 172 |
||||||
| 0 | 0 | 4 | ||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
| 1 | 7 | 2 | ||||
|
STEP 11: SUBTRACT 175 - 172 = 3 |
||||||
| 0 | 0 | 4 | ||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
| – | 1 | 7 | 2 | |||
| 3 | ||||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 4 | ||||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
| – | 1 | 7 | 2 | |||
| 3 | 0 | |||||
|
STEP 13: DIVIDE 30 : 43 = 0 with a remainder of 30 |
||||||
| 0 | 0 | 4 | 0 | |||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
| – | 1 | 7 | 2 | |||
| 3 | 0 | |||||
|
STEP 14: MULTIPLY 0 · 43 = 0 |
||||||
| 0 | 0 | 4 | 0 | |||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
| – | 1 | 7 | 2 | |||
| 3 | 0 | |||||
| 0 | ||||||
|
STEP 15: SUBTRACT 30 - 0 = 30 |
||||||
| 0 | 0 | 4 | 0 | |||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
| – | 1 | 7 | 2 | |||
| 3 | 0 | |||||
| – | 0 | |||||
| 3 | 0 | |||||
| STEP 16: BRING DOWN | ||||||
| 0 | 0 | 4 | 0 | |||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
| – | 1 | 7 | 2 | |||
| 3 | 0 | |||||
| – | 0 | |||||
| 3 | 0 | 0 | ||||
|
STEP 17: DIVIDE 300 : 43 = 6 with a remainder of 42 |
||||||
| 0 | 0 | 4 | 0 | 6 | ||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
| – | 1 | 7 | 2 | |||
| 3 | 0 | |||||
| – | 0 | |||||
| 3 | 0 | 0 | ||||
|
STEP 18: MULTIPLY 6 · 43 = 258 |
||||||
| 0 | 0 | 4 | 0 | 6 | ||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
| – | 1 | 7 | 2 | |||
| 3 | 0 | |||||
| – | 0 | |||||
| 3 | 0 | 0 | ||||
| 2 | 5 | 8 | ||||
|
STEP 19: SUBTRACT 300 - 258 = 42 |
||||||
| 0 | 0 | 4 | 0 | 6 | ||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
| – | 1 | 7 | 2 | |||
| 3 | 0 | |||||
| – | 0 | |||||
| 3 | 0 | 0 | ||||
| – | 2 | 5 | 8 | |||
| 4 | 2 | |||||
|
STEP 19: SUBTRACT 300 - 258 = 42 |
||||||
| 0 | 0 | 4 | 0 | 6 | ||
| 4 | 3 | 1 | 7 | 5 | 0 | 0 |
| – | 0 | |||||
| 1 | 7 | |||||
| – | 0 | |||||
| 1 | 7 | 5 | ||||
| – | 1 | 7 | 2 | |||
| 3 | 0 | |||||
| – | 0 | |||||
| 3 | 0 | 0 | ||||
| – | 2 | 5 | 8 | |||
| 4 | 2 | |||||
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