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Question
What is the quotient and remainder when $ 7065 $ is divided by $ 16 $ ?
Answer
The quotient is 441 and the remainder is 9.
Explanation
|
Division Table
|
| | | 0 | 4 | 4 | 1 |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 6 | 4 | | |
| | | | 6 | 6 | |
| | | – | 6 | 4 | |
| | | | | 2 | 5 |
| | | | – | 1 | 6 |
| | | | | | 9 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 6 | 7 | 0 | 6 | 5 |
STEP 1: DIVIDE 7 : 16 = 0 with a remainder of 7
|
| | | 0 | | | |
| 1 | 6 | 7 | 0 | 6 | 5 |
STEP 2: MULTIPLY 0 · 16 = 0
|
| | | 0 | | | |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 5: DIVIDE 70 : 16 = 4 with a remainder of 6
|
| | | 0 | 4 | | |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 6: MULTIPLY 4 · 16 = 64
|
| | | 0 | 4 | | |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | 6 | 4 | | |
STEP 7: SUBTRACT 70 - 64 = 6
|
| | | 0 | 4 | | |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 6 | 4 | | |
| | | | 6 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 4 | | |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 6 | 4 | | |
| | | | 6 | 6 | |
STEP 9: DIVIDE 66 : 16 = 4 with a remainder of 2
|
| | | 0 | 4 | 4 | |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 6 | 4 | | |
| | | | 6 | 6 | |
STEP 10: MULTIPLY 4 · 16 = 64
|
| | | 0 | 4 | 4 | |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 6 | 4 | | |
| | | | 6 | 6 | |
| | | | 6 | 4 | |
STEP 11: SUBTRACT 66 - 64 = 2
|
| | | 0 | 4 | 4 | |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 6 | 4 | | |
| | | | 6 | 6 | |
| | | – | 6 | 4 | |
| | | | | 2 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 4 | 4 | |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 6 | 4 | | |
| | | | 6 | 6 | |
| | | – | 6 | 4 | |
| | | | | 2 | 5 |
STEP 13: DIVIDE 25 : 16 = 1 with a remainder of 9
|
| | | 0 | 4 | 4 | 1 |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 6 | 4 | | |
| | | | 6 | 6 | |
| | | – | 6 | 4 | |
| | | | | 2 | 5 |
STEP 14: MULTIPLY 1 · 16 = 16
|
| | | 0 | 4 | 4 | 1 |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 6 | 4 | | |
| | | | 6 | 6 | |
| | | – | 6 | 4 | |
| | | | | 2 | 5 |
| | | | | 1 | 6 |
STEP 15: SUBTRACT 25 - 16 = 9
|
| | | 0 | 4 | 4 | 1 |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 6 | 4 | | |
| | | | 6 | 6 | |
| | | – | 6 | 4 | |
| | | | | 2 | 5 |
| | | | – | 1 | 6 |
| | | | | | 9 |
STEP 15: SUBTRACT 25 - 16 = 9
|
| | | 0 | 4 | 4 | 1 |
| 1 | 6 | 7 | 0 | 6 | 5 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 6 | 4 | | |
| | | | 6 | 6 | |
| | | – | 6 | 4 | |
| | | | | 2 | 5 |
| | | | – | 1 | 6 |
| | | | | | 9 |
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