Question
What is the quotient and remainder when $ 109 $ is divided by $ 3 $ ?
Answer
The quotient is 36 and the remainder is 1.
Explanation
| Division Table | |||
| 0 | 3 | 6 | |
| 3 | 1 | 0 | 9 |
| – | 0 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | 9 | ||
| – | 1 | 8 | |
| 1 | |||
|
STEP 0: set up a division table |
|||
| 3 | 1 | 0 | 9 |
|
STEP 1: DIVIDE 1 : 3 = 0 with a remainder of 1 |
|||
| 0 | |||
| 3 | 1 | 0 | 9 |
|
STEP 2: MULTIPLY 0 · 3 = 0 |
|||
| 0 | |||
| 3 | 1 | 0 | 9 |
| 0 | |||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||
| 0 | |||
| 3 | 1 | 0 | 9 |
| – | 0 | ||
| 1 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 3 | 1 | 0 | 9 |
| – | 0 | ||
| 1 | 0 | ||
|
STEP 5: DIVIDE 10 : 3 = 3 with a remainder of 1 |
|||
| 0 | 3 | ||
| 3 | 1 | 0 | 9 |
| – | 0 | ||
| 1 | 0 | ||
|
STEP 6: MULTIPLY 3 · 3 = 9 |
|||
| 0 | 3 | ||
| 3 | 1 | 0 | 9 |
| – | 0 | ||
| 1 | 0 | ||
| 9 | |||
|
STEP 7: SUBTRACT 10 - 9 = 1 |
|||
| 0 | 3 | ||
| 3 | 1 | 0 | 9 |
| – | 0 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | |||
| STEP 8: BRING DOWN | |||
| 0 | 3 | ||
| 3 | 1 | 0 | 9 |
| – | 0 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | 9 | ||
|
STEP 9: DIVIDE 19 : 3 = 6 with a remainder of 1 |
|||
| 0 | 3 | 6 | |
| 3 | 1 | 0 | 9 |
| – | 0 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | 9 | ||
|
STEP 10: MULTIPLY 6 · 3 = 18 |
|||
| 0 | 3 | 6 | |
| 3 | 1 | 0 | 9 |
| – | 0 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | 9 | ||
| 1 | 8 | ||
|
STEP 11: SUBTRACT 19 - 18 = 1 |
|||
| 0 | 3 | 6 | |
| 3 | 1 | 0 | 9 |
| – | 0 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | 9 | ||
| – | 1 | 8 | |
| 1 | |||
|
STEP 11: SUBTRACT 19 - 18 = 1 |
|||
| 0 | 3 | 6 | |
| 3 | 1 | 0 | 9 |
| – | 0 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | 9 | ||
| – | 1 | 8 | |
| 1 | |||
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