Question
What is the quotient and remainder when $ 599 $ is divided by $ 4 $ ?
Answer
The quotient is 149 and the remainder is 3.
Explanation
| Division Table | |||
| 1 | 4 | 9 | |
| 4 | 5 | 9 | 9 |
| – | 4 | ||
| 1 | 9 | ||
| – | 1 | 6 | |
| 3 | 9 | ||
| – | 3 | 6 | |
| 3 | |||
|
STEP 0: set up a division table |
|||
| 4 | 5 | 9 | 9 |
|
STEP 1: DIVIDE 5 : 4 = 1 with a remainder of 1 |
|||
| 1 | |||
| 4 | 5 | 9 | 9 |
|
STEP 2: MULTIPLY 1 · 4 = 4 |
|||
| 1 | |||
| 4 | 5 | 9 | 9 |
| 4 | |||
|
STEP 3: SUBTRACT 5 - 4 = 1 |
|||
| 1 | |||
| 4 | 5 | 9 | 9 |
| – | 4 | ||
| 1 | |||
| STEP 4: BRING DOWN | |||
| 1 | |||
| 4 | 5 | 9 | 9 |
| – | 4 | ||
| 1 | 9 | ||
|
STEP 5: DIVIDE 19 : 4 = 4 with a remainder of 3 |
|||
| 1 | 4 | ||
| 4 | 5 | 9 | 9 |
| – | 4 | ||
| 1 | 9 | ||
|
STEP 6: MULTIPLY 4 · 4 = 16 |
|||
| 1 | 4 | ||
| 4 | 5 | 9 | 9 |
| – | 4 | ||
| 1 | 9 | ||
| 1 | 6 | ||
|
STEP 7: SUBTRACT 19 - 16 = 3 |
|||
| 1 | 4 | ||
| 4 | 5 | 9 | 9 |
| – | 4 | ||
| 1 | 9 | ||
| – | 1 | 6 | |
| 3 | |||
| STEP 8: BRING DOWN | |||
| 1 | 4 | ||
| 4 | 5 | 9 | 9 |
| – | 4 | ||
| 1 | 9 | ||
| – | 1 | 6 | |
| 3 | 9 | ||
|
STEP 9: DIVIDE 39 : 4 = 9 with a remainder of 3 |
|||
| 1 | 4 | 9 | |
| 4 | 5 | 9 | 9 |
| – | 4 | ||
| 1 | 9 | ||
| – | 1 | 6 | |
| 3 | 9 | ||
|
STEP 10: MULTIPLY 9 · 4 = 36 |
|||
| 1 | 4 | 9 | |
| 4 | 5 | 9 | 9 |
| – | 4 | ||
| 1 | 9 | ||
| – | 1 | 6 | |
| 3 | 9 | ||
| 3 | 6 | ||
|
STEP 11: SUBTRACT 39 - 36 = 3 |
|||
| 1 | 4 | 9 | |
| 4 | 5 | 9 | 9 |
| – | 4 | ||
| 1 | 9 | ||
| – | 1 | 6 | |
| 3 | 9 | ||
| – | 3 | 6 | |
| 3 | |||
|
STEP 11: SUBTRACT 39 - 36 = 3 |
|||
| 1 | 4 | 9 | |
| 4 | 5 | 9 | 9 |
| – | 4 | ||
| 1 | 9 | ||
| – | 1 | 6 | |
| 3 | 9 | ||
| – | 3 | 6 | |
| 3 | |||
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