Question
What is the quotient and remainder when $ 59 $ is divided by $ 4 $ ?
Answer
The quotient is 14 and the remainder is 3.
Explanation
| Division Table | ||
| 1 | 4 | |
| 4 | 5 | 9 |
| – | 4 | |
| 1 | 9 | |
| – | 1 | 6 |
| 3 | ||
|
STEP 0: set up a division table |
||
| 4 | 5 | 9 |
|
STEP 1: DIVIDE 5 : 4 = 1 with a remainder of 1 |
||
| 1 | ||
| 4 | 5 | 9 |
|
STEP 2: MULTIPLY 1 · 4 = 4 |
||
| 1 | ||
| 4 | 5 | 9 |
| 4 | ||
|
STEP 3: SUBTRACT 5 - 4 = 1 |
||
| 1 | ||
| 4 | 5 | 9 |
| – | 4 | |
| 1 | ||
| STEP 4: BRING DOWN | ||
| 1 | ||
| 4 | 5 | 9 |
| – | 4 | |
| 1 | 9 | |
|
STEP 5: DIVIDE 19 : 4 = 4 with a remainder of 3 |
||
| 1 | 4 | |
| 4 | 5 | 9 |
| – | 4 | |
| 1 | 9 | |
|
STEP 6: MULTIPLY 4 · 4 = 16 |
||
| 1 | 4 | |
| 4 | 5 | 9 |
| – | 4 | |
| 1 | 9 | |
| 1 | 6 | |
|
STEP 7: SUBTRACT 19 - 16 = 3 |
||
| 1 | 4 | |
| 4 | 5 | 9 |
| – | 4 | |
| 1 | 9 | |
| – | 1 | 6 |
| 3 | ||
|
STEP 7: SUBTRACT 19 - 16 = 3 |
||
| 1 | 4 | |
| 4 | 5 | 9 |
| – | 4 | |
| 1 | 9 | |
| – | 1 | 6 |
| 3 | ||
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