Question
What is the quotient and remainder when $ 7958 $ is divided by $ 305 $ ?
Answer
The quotient is 26 and the remainder is 28.
Explanation
| Division Table | ||||||
| 0 | 0 | 2 | 6 | |||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 5 | ||||
| – | 6 | 1 | 0 | |||
| 1 | 8 | 5 | 8 | |||
| – | 1 | 8 | 3 | 0 | ||
| 2 | 8 | |||||
|
STEP 0: set up a division table |
||||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
|
STEP 1: DIVIDE 7 : 305 = 0 with a remainder of 7 |
||||||
| 0 | ||||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
|
STEP 2: MULTIPLY 0 · 305 = 0 |
||||||
| 0 | ||||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| 0 | ||||||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
||||||
| 0 | ||||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
|
STEP 5: DIVIDE 79 : 305 = 0 with a remainder of 79 |
||||||
| 0 | 0 | |||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
|
STEP 6: MULTIPLY 0 · 305 = 0 |
||||||
| 0 | 0 | |||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 79 - 0 = 79 |
||||||
| 0 | 0 | |||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 5 | ||||
|
STEP 9: DIVIDE 795 : 305 = 2 with a remainder of 185 |
||||||
| 0 | 0 | 2 | ||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 5 | ||||
|
STEP 10: MULTIPLY 2 · 305 = 610 |
||||||
| 0 | 0 | 2 | ||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 5 | ||||
| 6 | 1 | 0 | ||||
|
STEP 11: SUBTRACT 795 - 610 = 185 |
||||||
| 0 | 0 | 2 | ||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 5 | ||||
| – | 6 | 1 | 0 | |||
| 1 | 8 | 5 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 2 | ||||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 5 | ||||
| – | 6 | 1 | 0 | |||
| 1 | 8 | 5 | 8 | |||
|
STEP 13: DIVIDE 1858 : 305 = 6 with a remainder of 28 |
||||||
| 0 | 0 | 2 | 6 | |||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 5 | ||||
| – | 6 | 1 | 0 | |||
| 1 | 8 | 5 | 8 | |||
|
STEP 14: MULTIPLY 6 · 305 = 1830 |
||||||
| 0 | 0 | 2 | 6 | |||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 5 | ||||
| – | 6 | 1 | 0 | |||
| 1 | 8 | 5 | 8 | |||
| 1 | 8 | 3 | 0 | |||
|
STEP 15: SUBTRACT 1858 - 1830 = 28 |
||||||
| 0 | 0 | 2 | 6 | |||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 5 | ||||
| – | 6 | 1 | 0 | |||
| 1 | 8 | 5 | 8 | |||
| – | 1 | 8 | 3 | 0 | ||
| 2 | 8 | |||||
|
STEP 15: SUBTRACT 1858 - 1830 = 28 |
||||||
| 0 | 0 | 2 | 6 | |||
| 3 | 0 | 5 | 7 | 9 | 5 | 8 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 5 | ||||
| – | 6 | 1 | 0 | |||
| 1 | 8 | 5 | 8 | |||
| – | 1 | 8 | 3 | 0 | ||
| 2 | 8 | |||||
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