We divide 645669 by 82
We're looking to find how many times 82 goes into 645669.

Let's proceed to step 1:
6 divided by 82 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 82

On to step 2:
If we divide 64 by 82, we get 0 and a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Include the next digit (5) from the dividend after 64, then repeat: 645 / 82

Going ahead to step 3:
82 can be fit into 645 7 times, resulting in a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 574 from 645, we get 71.
Take the next digit (6) from the dividend and append it to 71, then repeat: 716 / 82

Going ahead to step 4:
When dividing 716 by 82, we get 8 with a remainder of 60.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
If we take 656 away from 716, we end up with 60.
Bring next digit (6) of the dividend behind the 60 and repeat the process: 606 / 82

Step 5:
If we divide 606 by 82, we get 7 and a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 787.0
Deduct 574 from 606 and we're left with 32.
Bring next digit (9) of the dividend behind the 32 and repeat the process: 329 / 82

On to step 6:
When dividing 329 by 82, we get 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 7874.0
If we take 328 away from 329, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
82 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 7874.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
The number 82 fits into 100 1 times, leaving a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 7874.01
If we subtract 82 from 100, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
When dividing 180 by 82, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 7874.012
Subtracting 164 from 180 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
When dividing 160 by 82, we get 1 with a remainder of 78.
Write down 1 as next digit of the result. 
Result so far: 7874.0121
If we take 82 away from 160, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 11:
82 goes into 780 9 times with a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 7874.01219
Deduct 738 from 780 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 12:
When dividing 420 by 82, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 7874.012195
If we take 410 away from 420, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
When dividing 100 by 82, we get 1 with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 7874.0121951
If we subtract 82 from 100, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 14:
The number 82 fits into 180 2 times, leaving a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 7874.01219512
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 7874.01219512 and a remainder of 1.6e-08.