Question
What is the quotient and remainder when $ 380 $ is divided by $ 95 $ ?
Answer
The quotient is 4 and the remainder is 0.
Explanation
| Division Table | ||||
| 0 | 0 | 4 | ||
| 9 | 5 | 3 | 8 | 0 |
| – | 0 | |||
| 3 | 8 | |||
| – | 0 | |||
| 3 | 8 | 0 | ||
| – | 3 | 8 | 0 | |
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 9 | 5 | 3 | 8 | 0 |
|
STEP 1: DIVIDE 3 : 95 = 0 with a remainder of 3 |
||||
| 0 | ||||
| 9 | 5 | 3 | 8 | 0 |
|
STEP 2: MULTIPLY 0 · 95 = 0 |
||||
| 0 | ||||
| 9 | 5 | 3 | 8 | 0 |
| 0 | ||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||
| 0 | ||||
| 9 | 5 | 3 | 8 | 0 |
| – | 0 | |||
| 3 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 9 | 5 | 3 | 8 | 0 |
| – | 0 | |||
| 3 | 8 | |||
|
STEP 5: DIVIDE 38 : 95 = 0 with a remainder of 38 |
||||
| 0 | 0 | |||
| 9 | 5 | 3 | 8 | 0 |
| – | 0 | |||
| 3 | 8 | |||
|
STEP 6: MULTIPLY 0 · 95 = 0 |
||||
| 0 | 0 | |||
| 9 | 5 | 3 | 8 | 0 |
| – | 0 | |||
| 3 | 8 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 38 - 0 = 38 |
||||
| 0 | 0 | |||
| 9 | 5 | 3 | 8 | 0 |
| – | 0 | |||
| 3 | 8 | |||
| – | 0 | |||
| 3 | 8 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 9 | 5 | 3 | 8 | 0 |
| – | 0 | |||
| 3 | 8 | |||
| – | 0 | |||
| 3 | 8 | 0 | ||
|
STEP 9: DIVIDE 380 : 95 = 4 with a remainder of 0 |
||||
| 0 | 0 | 4 | ||
| 9 | 5 | 3 | 8 | 0 |
| – | 0 | |||
| 3 | 8 | |||
| – | 0 | |||
| 3 | 8 | 0 | ||
|
STEP 10: MULTIPLY 4 · 95 = 380 |
||||
| 0 | 0 | 4 | ||
| 9 | 5 | 3 | 8 | 0 |
| – | 0 | |||
| 3 | 8 | |||
| – | 0 | |||
| 3 | 8 | 0 | ||
| 3 | 8 | 0 | ||
|
STEP 11: SUBTRACT 380 - 380 = 0 |
||||
| 0 | 0 | 4 | ||
| 9 | 5 | 3 | 8 | 0 |
| – | 0 | |||
| 3 | 8 | |||
| – | 0 | |||
| 3 | 8 | 0 | ||
| – | 3 | 8 | 0 | |
| 0 | ||||
|
STEP 11: SUBTRACT 380 - 380 = 0 |
||||
| 0 | 0 | 4 | ||
| 9 | 5 | 3 | 8 | 0 |
| – | 0 | |||
| 3 | 8 | |||
| – | 0 | |||
| 3 | 8 | 0 | ||
| – | 3 | 8 | 0 | |
| 0 | ||||
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