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What is the quotient and remainder when $ 3416 $ is divided by $ 16 $ ?
Answer
The quotient is 213 and the remainder is 8.
Explanation
Division Table
|
| | 0 | 2 | 1 | 3 |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 1 | |
| | – | 1 | 6 | |
| | | | 5 | 6 |
| | | – | 4 | 8 |
| | | | | 8 |
STEP 0: set up a division table
|
| | | | | |
1 | 6 | 3 | 4 | 1 | 6 |
STEP 1: DIVIDE 3 : 16 = 0 with a remainder of 3
|
| | 0 | | | |
1 | 6 | 3 | 4 | 1 | 6 |
STEP 2: MULTIPLY 0 · 16 = 0
|
| | 0 | | | |
1 | 6 | 3 | 4 | 1 | 6 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
STEP 5: DIVIDE 34 : 16 = 2 with a remainder of 2
|
| | 0 | 2 | | |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
STEP 6: MULTIPLY 2 · 16 = 32
|
| | 0 | 2 | | |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
| | 3 | 2 | | |
STEP 7: SUBTRACT 34 - 32 = 2
|
| | 0 | 2 | | |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 2 | | |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 1 | |
STEP 9: DIVIDE 21 : 16 = 1 with a remainder of 5
|
| | 0 | 2 | 1 | |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 1 | |
STEP 10: MULTIPLY 1 · 16 = 16
|
| | 0 | 2 | 1 | |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 1 | |
| | | 1 | 6 | |
STEP 11: SUBTRACT 21 - 16 = 5
|
| | 0 | 2 | 1 | |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 1 | |
| | – | 1 | 6 | |
| | | | 5 | |
STEP 12: BRING DOWN
|
| | 0 | 2 | 1 | |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 1 | |
| | – | 1 | 6 | |
| | | | 5 | 6 |
STEP 13: DIVIDE 56 : 16 = 3 with a remainder of 8
|
| | 0 | 2 | 1 | 3 |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 1 | |
| | – | 1 | 6 | |
| | | | 5 | 6 |
STEP 14: MULTIPLY 3 · 16 = 48
|
| | 0 | 2 | 1 | 3 |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 1 | |
| | – | 1 | 6 | |
| | | | 5 | 6 |
| | | | 4 | 8 |
STEP 15: SUBTRACT 56 - 48 = 8
|
| | 0 | 2 | 1 | 3 |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 1 | |
| | – | 1 | 6 | |
| | | | 5 | 6 |
| | | – | 4 | 8 |
| | | | | 8 |
STEP 15: SUBTRACT 56 - 48 = 8
|
| | 0 | 2 | 1 | 3 |
1 | 6 | 3 | 4 | 1 | 6 |
| – | 0 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 1 | |
| | – | 1 | 6 | |
| | | | 5 | 6 |
| | | – | 4 | 8 |
| | | | | 8 |
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