We look at the division of 557626 by 77 
Let's see how many times 77 fits into 557626.

Step 1:
77 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 77

Step 2:
If we divide 55 by 77, we get 0 and a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Include the next digit (7) from the dividend after 55, then repeat: 557 / 77

Moving on to step 3:
When dividing 557 by 77, we get 7 with a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 539 from 557, we get 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 77

On to step 4:
77 goes into 186 2 times with a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
Subtract 154 from 186 to get 32.
Append the next digit (2) from the dividend to 32 and continue with: 322 / 77

Moving on to step 5:
322 divided by 77 is 4 with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 724.0
If we subtract 308 from 322, we get 14.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 77

On to step 6:
77 goes into 146 1 times with a remainder of 69.
The number 1 becomes the next digit in our result. 
Result so far: 7241.0
Subtract 77 from 146 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Going ahead to step 7:
690 divided by 77 is 8 with a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 7241.8
Deduct 616 from 690 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 8:
The number 77 fits into 740 9 times, leaving a remainder of 47.
Write down 9 as next digit of the result. 
Result so far: 7241.89
Deduct 693 from 740 and we're left 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.

Step 9:
When dividing 470 by 77, we get 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 7241.896
If we take 462 away from 470, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
The number 77 fits into 80 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 7241.8961
If we subtract 77 from 80, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 11:
77 goes into 30 0 times with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 7241.8961
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
300 divided by 77 is 3 with a remainder of 69.
Record the quotient 3 as the next digit in the result. 
Result so far: 7241.896103
If we subtract 231 from 300, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Going ahead to step 13:
77 goes into 690 8 times with a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 7241.8961038
Subtract 616 from 690 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 14:
740 divided by 77 is 9 with a remainder of 47.
Use 9 as the next digit of our solution. 
Result so far: 7241.89610389
If we take 693 away from 740, 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.

Our division results in 7241.89610389 with a remaining 4.7e-08.