Question
What is the quotient and remainder when $ 94350 $ is divided by $ 30 $ ?
Answer
The quotient is 3145 and the remainder is 0.
Explanation
| Division Table | ||||||
| 0 | 3 | 1 | 4 | 5 | ||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
| – | 3 | 0 | ||||
| 1 | 3 | 5 | ||||
| – | 1 | 2 | 0 | |||
| 1 | 5 | 0 | ||||
| – | 1 | 5 | 0 | |||
| 0 | ||||||
|
STEP 0: set up a division table |
||||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
|
STEP 1: DIVIDE 9 : 30 = 0 with a remainder of 9 |
||||||
| 0 | ||||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
|
STEP 2: MULTIPLY 0 · 30 = 0 |
||||||
| 0 | ||||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| 0 | ||||||
|
STEP 3: SUBTRACT 9 - 0 = 9 |
||||||
| 0 | ||||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
|
STEP 5: DIVIDE 94 : 30 = 3 with a remainder of 4 |
||||||
| 0 | 3 | |||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
|
STEP 6: MULTIPLY 3 · 30 = 90 |
||||||
| 0 | 3 | |||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| 9 | 0 | |||||
|
STEP 7: SUBTRACT 94 - 90 = 4 |
||||||
| 0 | 3 | |||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | ||||||
| STEP 8: BRING DOWN | ||||||
| 0 | 3 | |||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
|
STEP 9: DIVIDE 43 : 30 = 1 with a remainder of 13 |
||||||
| 0 | 3 | 1 | ||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
|
STEP 10: MULTIPLY 1 · 30 = 30 |
||||||
| 0 | 3 | 1 | ||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
| 3 | 0 | |||||
|
STEP 11: SUBTRACT 43 - 30 = 13 |
||||||
| 0 | 3 | 1 | ||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
| – | 3 | 0 | ||||
| 1 | 3 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 3 | 1 | ||||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
| – | 3 | 0 | ||||
| 1 | 3 | 5 | ||||
|
STEP 13: DIVIDE 135 : 30 = 4 with a remainder of 15 |
||||||
| 0 | 3 | 1 | 4 | |||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
| – | 3 | 0 | ||||
| 1 | 3 | 5 | ||||
|
STEP 14: MULTIPLY 4 · 30 = 120 |
||||||
| 0 | 3 | 1 | 4 | |||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
| – | 3 | 0 | ||||
| 1 | 3 | 5 | ||||
| 1 | 2 | 0 | ||||
|
STEP 15: SUBTRACT 135 - 120 = 15 |
||||||
| 0 | 3 | 1 | 4 | |||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
| – | 3 | 0 | ||||
| 1 | 3 | 5 | ||||
| – | 1 | 2 | 0 | |||
| 1 | 5 | |||||
| STEP 16: BRING DOWN | ||||||
| 0 | 3 | 1 | 4 | |||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
| – | 3 | 0 | ||||
| 1 | 3 | 5 | ||||
| – | 1 | 2 | 0 | |||
| 1 | 5 | 0 | ||||
|
STEP 17: DIVIDE 150 : 30 = 5 with a remainder of 0 |
||||||
| 0 | 3 | 1 | 4 | 5 | ||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
| – | 3 | 0 | ||||
| 1 | 3 | 5 | ||||
| – | 1 | 2 | 0 | |||
| 1 | 5 | 0 | ||||
|
STEP 18: MULTIPLY 5 · 30 = 150 |
||||||
| 0 | 3 | 1 | 4 | 5 | ||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
| – | 3 | 0 | ||||
| 1 | 3 | 5 | ||||
| – | 1 | 2 | 0 | |||
| 1 | 5 | 0 | ||||
| 1 | 5 | 0 | ||||
|
STEP 19: SUBTRACT 150 - 150 = 0 |
||||||
| 0 | 3 | 1 | 4 | 5 | ||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
| – | 3 | 0 | ||||
| 1 | 3 | 5 | ||||
| – | 1 | 2 | 0 | |||
| 1 | 5 | 0 | ||||
| – | 1 | 5 | 0 | |||
| 0 | ||||||
|
STEP 19: SUBTRACT 150 - 150 = 0 |
||||||
| 0 | 3 | 1 | 4 | 5 | ||
| 3 | 0 | 9 | 4 | 3 | 5 | 0 |
| – | 0 | |||||
| 9 | 4 | |||||
| – | 9 | 0 | ||||
| 4 | 3 | |||||
| – | 3 | 0 | ||||
| 1 | 3 | 5 | ||||
| – | 1 | 2 | 0 | |||
| 1 | 5 | 0 | ||||
| – | 1 | 5 | 0 | |||
| 0 | ||||||
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