We're dividing 53108642 by 681 
Let's see how many times 681 fits into 53108642.

On to step 1:
681 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 681

Going ahead to step 2:
If we divide 53 by 681, we get 0 and a remainder of 53.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 53 after subtracting 0 from 53.
Bring next digit (1) of the dividend behind the 53 and repeat the process: 531 / 681

Let's proceed to step 3:
531 divided by 681 is 0 with a remainder of 531.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 531, we get 531.
Take the next digit (0) from the dividend and append it to 531, then repeat: 5310 / 681

Going ahead to step 4:
5310 divided by 681 is 7 with a remainder of 543.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 4767 from 5310 to get 543.
Include the next digit (8) from the dividend after 543, then repeat: 5438 / 681

Moving on to step 5:
The number 681 fits into 5438 7 times, leaving a remainder of 671.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
Deduct 4767 from 5438 and we're left with 671.
Grab the next digit (6) from the dividend, add it to 671, then carry on: 6716 / 681

Step 6:
681 can be fit into 6716 9 times, resulting in a remainder of 587.
The number 9 becomes the next digit in our result. 
Result so far: 779.0
Deduct 6129 from 6716 and we're left with 587.
Bring next digit (4) of the dividend behind the 587 and repeat the process: 5874 / 681

Advancing to step 7:
If we divide 5874 by 681, we get 8 and a remainder of 426.
Write down 8 as next digit of the result. 
Result so far: 7798.0
Subtracting 5448 from 5874 leaves us with 426.
Append the next digit (2) from the dividend to 426 and continue with: 4262 / 681

Moving on to step 8:
681 goes into 4262 6 times with a remainder of 176.
Write down 6 as next digit of the result. 
Result so far: 77986.0
If we take 4086 away from 4262, we end up with 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

On to step 9:
The number 681 fits into 1760 2 times, leaving a remainder of 398.
The next digit of our result is 2. 
Result so far: 77986.2
If we take 1362 away from 1760, we end up with 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

On to step 10:
681 can be fit into 3980 5 times, resulting in a remainder of 575.
Write down 5 as next digit of the result. 
Result so far: 77986.25
If we subtract 3405 from 3980, we get 575.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5750, and continue the process.

Going ahead to step 11:
5750 divided by 681 is 8 with a remainder of 302.
Put 8 as the next digit of the answer. 
Result so far: 77986.258
The remainder is 302 after subtracting 5448 from 5750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3020, and continue the process.

Step 12:
681 goes into 3020 4 times with a remainder of 296.
Use 4 as the next digit of our solution. 
Result so far: 77986.2584
Deduct 2724 from 3020 and we're left with 296.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2960, and continue the process.

Step 13:
When dividing 2960 by 681, we get 4 with a remainder of 236.
Put 4 as the next digit of the answer. 
Result so far: 77986.25844
The remainder is 236 after subtracting 2724 from 2960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

After the division, we end up with 77986.25844 and a remainder of 0.000236.