Question
What is the quotient and remainder when $ 1050 $ is divided by $ 350 $ ?
Answer
The quotient is 3 and the remainder is 0.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | 3 | |||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 5 | ||||
| – | 0 | |||||
| 1 | 0 | 5 | 0 | |||
| – | 1 | 0 | 5 | 0 | ||
| 0 | ||||||
|
STEP 0: set up a division table |
||||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
|
STEP 1: DIVIDE 1 : 350 = 0 with a remainder of 1 |
||||||
| 0 | ||||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
|
STEP 2: MULTIPLY 0 · 350 = 0 |
||||||
| 0 | ||||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| 0 | ||||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||||
| 0 | ||||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
|
STEP 5: DIVIDE 10 : 350 = 0 with a remainder of 10 |
||||||
| 0 | 0 | |||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
|
STEP 6: MULTIPLY 0 · 350 = 0 |
||||||
| 0 | 0 | |||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 10 - 0 = 10 |
||||||
| 0 | 0 | |||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 5 | ||||
|
STEP 9: DIVIDE 105 : 350 = 0 with a remainder of 105 |
||||||
| 0 | 0 | 0 | ||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 5 | ||||
|
STEP 10: MULTIPLY 0 · 350 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 5 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 105 - 0 = 105 |
||||||
| 0 | 0 | 0 | ||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 5 | ||||
| – | 0 | |||||
| 1 | 0 | 5 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 0 | ||||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 5 | ||||
| – | 0 | |||||
| 1 | 0 | 5 | 0 | |||
|
STEP 13: DIVIDE 1050 : 350 = 3 with a remainder of 0 |
||||||
| 0 | 0 | 0 | 3 | |||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 5 | ||||
| – | 0 | |||||
| 1 | 0 | 5 | 0 | |||
|
STEP 14: MULTIPLY 3 · 350 = 1050 |
||||||
| 0 | 0 | 0 | 3 | |||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 5 | ||||
| – | 0 | |||||
| 1 | 0 | 5 | 0 | |||
| 1 | 0 | 5 | 0 | |||
|
STEP 15: SUBTRACT 1050 - 1050 = 0 |
||||||
| 0 | 0 | 0 | 3 | |||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 5 | ||||
| – | 0 | |||||
| 1 | 0 | 5 | 0 | |||
| – | 1 | 0 | 5 | 0 | ||
| 0 | ||||||
|
STEP 15: SUBTRACT 1050 - 1050 = 0 |
||||||
| 0 | 0 | 0 | 3 | |||
| 3 | 5 | 0 | 1 | 0 | 5 | 0 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 5 | ||||
| – | 0 | |||||
| 1 | 0 | 5 | 0 | |||
| – | 1 | 0 | 5 | 0 | ||
| 0 | ||||||
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