Question
What is the quotient and remainder when $ 33 $ is divided by $ 2 $ ?
Answer
The quotient is 16 and the remainder is 1.
Explanation
| Division Table | ||
| 1 | 6 | |
| 2 | 3 | 3 |
| – | 2 | |
| 1 | 3 | |
| – | 1 | 2 |
| 1 | ||
|
STEP 0: set up a division table |
||
| 2 | 3 | 3 |
|
STEP 1: DIVIDE 3 : 2 = 1 with a remainder of 1 |
||
| 1 | ||
| 2 | 3 | 3 |
|
STEP 2: MULTIPLY 1 · 2 = 2 |
||
| 1 | ||
| 2 | 3 | 3 |
| 2 | ||
|
STEP 3: SUBTRACT 3 - 2 = 1 |
||
| 1 | ||
| 2 | 3 | 3 |
| – | 2 | |
| 1 | ||
| STEP 4: BRING DOWN | ||
| 1 | ||
| 2 | 3 | 3 |
| – | 2 | |
| 1 | 3 | |
|
STEP 5: DIVIDE 13 : 2 = 6 with a remainder of 1 |
||
| 1 | 6 | |
| 2 | 3 | 3 |
| – | 2 | |
| 1 | 3 | |
|
STEP 6: MULTIPLY 6 · 2 = 12 |
||
| 1 | 6 | |
| 2 | 3 | 3 |
| – | 2 | |
| 1 | 3 | |
| 1 | 2 | |
|
STEP 7: SUBTRACT 13 - 12 = 1 |
||
| 1 | 6 | |
| 2 | 3 | 3 |
| – | 2 | |
| 1 | 3 | |
| – | 1 | 2 |
| 1 | ||
|
STEP 7: SUBTRACT 13 - 12 = 1 |
||
| 1 | 6 | |
| 2 | 3 | 3 |
| – | 2 | |
| 1 | 3 | |
| – | 1 | 2 |
| 1 | ||
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