677886 ÷ 53 
We're looking to find how many times 53 goes into 677886.

Advancing to step 1:
When dividing 6 by 53, we get 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.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 53

Moving on to step 2:
67 divided by 53 is 1 with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 53 from 67 leaves us with 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 53

Let's proceed to step 3:
53 goes into 147 2 times with a remainder of 41.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtracting 106 from 147 leaves us with 41.
Bring next digit (8) of the dividend behind the 41 and repeat the process: 418 / 53

Moving on to step 4:
53 can be fit into 418 7 times, resulting in a remainder of 47.
Record the quotient 7 as the next digit in the result. 
Result so far: 127.0
If we subtract 371 from 418, we get 47.
Include the next digit (8) from the dividend after 47, then repeat: 478 / 53

Going ahead to step 5:
The number 53 fits into 478 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 1279.0
The remainder is 1 after subtracting 477 from 478.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 53

Step 6:
53 can be fit into 16 0 times, resulting in a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 12790.0
If we subtract 0 from 16, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
53 can be fit into 160 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 12790.3
If we subtract 159 from 160, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
10 divided by 53 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 12790.3
Deduct 0 from 10 and we're left 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.

Let's proceed to step 9:
53 goes into 100 1 times with a remainder of 47.
Write down 1 as next digit of the result. 
Result so far: 12790.301
If we take 53 away from 100, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 10:
The number 53 fits into 470 8 times, leaving a remainder of 46.
The next digit of our result is 8. 
Result so far: 12790.3018
Deduct 424 from 470 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 11:
The number 53 fits into 460 8 times, leaving a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 12790.30188
Deduct 424 from 460 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 12790.30188 with a remaining 3.6e-05.