Question
What is the quotient and remainder when $ 899 $ is divided by $ 5 $ ?
Answer
The quotient is 179 and the remainder is 4.
Explanation
| Division Table | |||
| 1 | 7 | 9 | |
| 5 | 8 | 9 | 9 |
| – | 5 | ||
| 3 | 9 | ||
| – | 3 | 5 | |
| 4 | 9 | ||
| – | 4 | 5 | |
| 4 | |||
|
STEP 0: set up a division table |
|||
| 5 | 8 | 9 | 9 |
|
STEP 1: DIVIDE 8 : 5 = 1 with a remainder of 3 |
|||
| 1 | |||
| 5 | 8 | 9 | 9 |
|
STEP 2: MULTIPLY 1 · 5 = 5 |
|||
| 1 | |||
| 5 | 8 | 9 | 9 |
| 5 | |||
|
STEP 3: SUBTRACT 8 - 5 = 3 |
|||
| 1 | |||
| 5 | 8 | 9 | 9 |
| – | 5 | ||
| 3 | |||
| STEP 4: BRING DOWN | |||
| 1 | |||
| 5 | 8 | 9 | 9 |
| – | 5 | ||
| 3 | 9 | ||
|
STEP 5: DIVIDE 39 : 5 = 7 with a remainder of 4 |
|||
| 1 | 7 | ||
| 5 | 8 | 9 | 9 |
| – | 5 | ||
| 3 | 9 | ||
|
STEP 6: MULTIPLY 7 · 5 = 35 |
|||
| 1 | 7 | ||
| 5 | 8 | 9 | 9 |
| – | 5 | ||
| 3 | 9 | ||
| 3 | 5 | ||
|
STEP 7: SUBTRACT 39 - 35 = 4 |
|||
| 1 | 7 | ||
| 5 | 8 | 9 | 9 |
| – | 5 | ||
| 3 | 9 | ||
| – | 3 | 5 | |
| 4 | |||
| STEP 8: BRING DOWN | |||
| 1 | 7 | ||
| 5 | 8 | 9 | 9 |
| – | 5 | ||
| 3 | 9 | ||
| – | 3 | 5 | |
| 4 | 9 | ||
|
STEP 9: DIVIDE 49 : 5 = 9 with a remainder of 4 |
|||
| 1 | 7 | 9 | |
| 5 | 8 | 9 | 9 |
| – | 5 | ||
| 3 | 9 | ||
| – | 3 | 5 | |
| 4 | 9 | ||
|
STEP 10: MULTIPLY 9 · 5 = 45 |
|||
| 1 | 7 | 9 | |
| 5 | 8 | 9 | 9 |
| – | 5 | ||
| 3 | 9 | ||
| – | 3 | 5 | |
| 4 | 9 | ||
| 4 | 5 | ||
|
STEP 11: SUBTRACT 49 - 45 = 4 |
|||
| 1 | 7 | 9 | |
| 5 | 8 | 9 | 9 |
| – | 5 | ||
| 3 | 9 | ||
| – | 3 | 5 | |
| 4 | 9 | ||
| – | 4 | 5 | |
| 4 | |||
|
STEP 11: SUBTRACT 49 - 45 = 4 |
|||
| 1 | 7 | 9 | |
| 5 | 8 | 9 | 9 |
| – | 5 | ||
| 3 | 9 | ||
| – | 3 | 5 | |
| 4 | 9 | ||
| – | 4 | 5 | |
| 4 | |||
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