Question
What is the quotient and remainder when $ 345 $ is divided by $ 5 $ ?
Answer
The quotient is 69 and the remainder is 0.
Explanation
| Division Table | |||
| 0 | 6 | 9 | |
| 5 | 3 | 4 | 5 |
| – | 0 | ||
| 3 | 4 | ||
| – | 3 | 0 | |
| 4 | 5 | ||
| – | 4 | 5 | |
| 0 | |||
|
STEP 0: set up a division table |
|||
| 5 | 3 | 4 | 5 |
|
STEP 1: DIVIDE 3 : 5 = 0 with a remainder of 3 |
|||
| 0 | |||
| 5 | 3 | 4 | 5 |
|
STEP 2: MULTIPLY 0 · 5 = 0 |
|||
| 0 | |||
| 5 | 3 | 4 | 5 |
| 0 | |||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||
| 0 | |||
| 5 | 3 | 4 | 5 |
| – | 0 | ||
| 3 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 5 | 3 | 4 | 5 |
| – | 0 | ||
| 3 | 4 | ||
|
STEP 5: DIVIDE 34 : 5 = 6 with a remainder of 4 |
|||
| 0 | 6 | ||
| 5 | 3 | 4 | 5 |
| – | 0 | ||
| 3 | 4 | ||
|
STEP 6: MULTIPLY 6 · 5 = 30 |
|||
| 0 | 6 | ||
| 5 | 3 | 4 | 5 |
| – | 0 | ||
| 3 | 4 | ||
| 3 | 0 | ||
|
STEP 7: SUBTRACT 34 - 30 = 4 |
|||
| 0 | 6 | ||
| 5 | 3 | 4 | 5 |
| – | 0 | ||
| 3 | 4 | ||
| – | 3 | 0 | |
| 4 | |||
| STEP 8: BRING DOWN | |||
| 0 | 6 | ||
| 5 | 3 | 4 | 5 |
| – | 0 | ||
| 3 | 4 | ||
| – | 3 | 0 | |
| 4 | 5 | ||
|
STEP 9: DIVIDE 45 : 5 = 9 with a remainder of 0 |
|||
| 0 | 6 | 9 | |
| 5 | 3 | 4 | 5 |
| – | 0 | ||
| 3 | 4 | ||
| – | 3 | 0 | |
| 4 | 5 | ||
|
STEP 10: MULTIPLY 9 · 5 = 45 |
|||
| 0 | 6 | 9 | |
| 5 | 3 | 4 | 5 |
| – | 0 | ||
| 3 | 4 | ||
| – | 3 | 0 | |
| 4 | 5 | ||
| 4 | 5 | ||
|
STEP 11: SUBTRACT 45 - 45 = 0 |
|||
| 0 | 6 | 9 | |
| 5 | 3 | 4 | 5 |
| – | 0 | ||
| 3 | 4 | ||
| – | 3 | 0 | |
| 4 | 5 | ||
| – | 4 | 5 | |
| 0 | |||
|
STEP 11: SUBTRACT 45 - 45 = 0 |
|||
| 0 | 6 | 9 | |
| 5 | 3 | 4 | 5 |
| – | 0 | ||
| 3 | 4 | ||
| – | 3 | 0 | |
| 4 | 5 | ||
| – | 4 | 5 | |
| 0 | |||
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