Question
What is the quotient and remainder when $ 209 $ is divided by $ 13 $ ?
Answer
The quotient is 16 and the remainder is 1.
Explanation
| Division Table | ||||
| 0 | 1 | 6 | ||
| 1 | 3 | 2 | 0 | 9 |
| – | 0 | |||
| 2 | 0 | |||
| – | 1 | 3 | ||
| 7 | 9 | |||
| – | 7 | 8 | ||
| 1 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 3 | 2 | 0 | 9 |
|
STEP 1: DIVIDE 2 : 13 = 0 with a remainder of 2 |
||||
| 0 | ||||
| 1 | 3 | 2 | 0 | 9 |
|
STEP 2: MULTIPLY 0 · 13 = 0 |
||||
| 0 | ||||
| 1 | 3 | 2 | 0 | 9 |
| 0 | ||||
|
STEP 3: SUBTRACT 2 - 0 = 2 |
||||
| 0 | ||||
| 1 | 3 | 2 | 0 | 9 |
| – | 0 | |||
| 2 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 3 | 2 | 0 | 9 |
| – | 0 | |||
| 2 | 0 | |||
|
STEP 5: DIVIDE 20 : 13 = 1 with a remainder of 7 |
||||
| 0 | 1 | |||
| 1 | 3 | 2 | 0 | 9 |
| – | 0 | |||
| 2 | 0 | |||
|
STEP 6: MULTIPLY 1 · 13 = 13 |
||||
| 0 | 1 | |||
| 1 | 3 | 2 | 0 | 9 |
| – | 0 | |||
| 2 | 0 | |||
| 1 | 3 | |||
|
STEP 7: SUBTRACT 20 - 13 = 7 |
||||
| 0 | 1 | |||
| 1 | 3 | 2 | 0 | 9 |
| – | 0 | |||
| 2 | 0 | |||
| – | 1 | 3 | ||
| 7 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 1 | 3 | 2 | 0 | 9 |
| – | 0 | |||
| 2 | 0 | |||
| – | 1 | 3 | ||
| 7 | 9 | |||
|
STEP 9: DIVIDE 79 : 13 = 6 with a remainder of 1 |
||||
| 0 | 1 | 6 | ||
| 1 | 3 | 2 | 0 | 9 |
| – | 0 | |||
| 2 | 0 | |||
| – | 1 | 3 | ||
| 7 | 9 | |||
|
STEP 10: MULTIPLY 6 · 13 = 78 |
||||
| 0 | 1 | 6 | ||
| 1 | 3 | 2 | 0 | 9 |
| – | 0 | |||
| 2 | 0 | |||
| – | 1 | 3 | ||
| 7 | 9 | |||
| 7 | 8 | |||
|
STEP 11: SUBTRACT 79 - 78 = 1 |
||||
| 0 | 1 | 6 | ||
| 1 | 3 | 2 | 0 | 9 |
| – | 0 | |||
| 2 | 0 | |||
| – | 1 | 3 | ||
| 7 | 9 | |||
| – | 7 | 8 | ||
| 1 | ||||
|
STEP 11: SUBTRACT 79 - 78 = 1 |
||||
| 0 | 1 | 6 | ||
| 1 | 3 | 2 | 0 | 9 |
| – | 0 | |||
| 2 | 0 | |||
| – | 1 | 3 | ||
| 7 | 9 | |||
| – | 7 | 8 | ||
| 1 | ||||
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