Let's divide 677988 by 53
We're looking to find how many times 53 goes into 677988.

Going ahead to step 1:
6 divided by 53 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 53

On to step 2:
67 divided by 53 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 53 away from 67, we end up with 14.
Append the next digit (7) from the dividend to 14 and continue with: 147 / 53

Going ahead to step 3:
53 can be fit into 147 2 times, resulting in a remainder of 41.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtract 106 from 147 to get 41.
Grab the next digit (9) from the dividend, add it to 41, then carry on: 419 / 53

Advancing to step 4:
If we divide 419 by 53, we get 7 and a remainder of 48.
Put 7 as the next digit of the answer. 
Result so far: 127.0
Subtracting 371 from 419 leaves us with 48.
Fetch the next digit (8) from the dividend, attach it to 48 and continue: 488 / 53

Step 5:
When dividing 488 by 53, we get 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 1279.0
Subtract 477 from 488 to get 11.
Include the next digit (8) from the dividend after 11, then repeat: 118 / 53

Step 6:
The number 53 fits into 118 2 times, leaving a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 12792.0
Deduct 106 from 118 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
120 divided by 53 is 2 with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 12792.2
Deduct 106 from 120 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
140 divided by 53 is 2 with a remainder of 34.
Record the quotient 2 as the next digit in the result. 
Result so far: 12792.22
Subtracting 106 from 140 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 12792.22 and a remainder of 0.034.