Question
What is the quotient and remainder when $ 1078 $ is divided by $ 300 $ ?
Answer
The quotient is 3 and the remainder is 178.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | 3 | |||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 7 | ||||
| – | 0 | |||||
| 1 | 0 | 7 | 8 | |||
| – | 9 | 0 | 0 | |||
| 1 | 7 | 8 | ||||
|
STEP 0: set up a division table |
||||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
|
STEP 1: DIVIDE 1 : 300 = 0 with a remainder of 1 |
||||||
| 0 | ||||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
|
STEP 2: MULTIPLY 0 · 300 = 0 |
||||||
| 0 | ||||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| 0 | ||||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||||
| 0 | ||||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
|
STEP 5: DIVIDE 10 : 300 = 0 with a remainder of 10 |
||||||
| 0 | 0 | |||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
|
STEP 6: MULTIPLY 0 · 300 = 0 |
||||||
| 0 | 0 | |||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 10 - 0 = 10 |
||||||
| 0 | 0 | |||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 7 | ||||
|
STEP 9: DIVIDE 107 : 300 = 0 with a remainder of 107 |
||||||
| 0 | 0 | 0 | ||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 7 | ||||
|
STEP 10: MULTIPLY 0 · 300 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 7 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 107 - 0 = 107 |
||||||
| 0 | 0 | 0 | ||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 7 | ||||
| – | 0 | |||||
| 1 | 0 | 7 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 0 | ||||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 7 | ||||
| – | 0 | |||||
| 1 | 0 | 7 | 8 | |||
|
STEP 13: DIVIDE 1078 : 300 = 3 with a remainder of 178 |
||||||
| 0 | 0 | 0 | 3 | |||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 7 | ||||
| – | 0 | |||||
| 1 | 0 | 7 | 8 | |||
|
STEP 14: MULTIPLY 3 · 300 = 900 |
||||||
| 0 | 0 | 0 | 3 | |||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 7 | ||||
| – | 0 | |||||
| 1 | 0 | 7 | 8 | |||
| 9 | 0 | 0 | ||||
|
STEP 15: SUBTRACT 1078 - 900 = 178 |
||||||
| 0 | 0 | 0 | 3 | |||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 7 | ||||
| – | 0 | |||||
| 1 | 0 | 7 | 8 | |||
| – | 9 | 0 | 0 | |||
| 1 | 7 | 8 | ||||
|
STEP 15: SUBTRACT 1078 - 900 = 178 |
||||||
| 0 | 0 | 0 | 3 | |||
| 3 | 0 | 0 | 1 | 0 | 7 | 8 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 7 | ||||
| – | 0 | |||||
| 1 | 0 | 7 | 8 | |||
| – | 9 | 0 | 0 | |||
| 1 | 7 | 8 | ||||
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