77574060 ÷ 688 
Our goal is to divide 77574060 by 688.

Step 1:
7 divided by 688 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 688

Moving on to step 2:
688 can be fit into 77 0 times, resulting in a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 77 to get 77.
Grab the next digit (5) from the dividend, add it to 77, then carry on: 775 / 688

Step 3:
The number 688 fits into 775 1 times, leaving a remainder of 87.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 87 after subtracting 688 from 775.
Grab the next digit (7) from the dividend, add it to 87, then carry on: 877 / 688

Going ahead to step 4:
688 goes into 877 1 times with a remainder of 189.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 688 away from 877, we end up with 189.
Append the next digit (4) from the dividend to 189 and continue with: 1894 / 688

Step 5:
688 can be fit into 1894 2 times, resulting in a remainder of 518.
Record the quotient 2 as the next digit in the result. 
Result so far: 112.0
The remainder is 518 after subtracting 1376 from 1894.
Append the next digit (0) from the dividend to 518 and continue with: 5180 / 688

Moving on to step 6:
If we divide 5180 by 688, we get 7 and a remainder of 364.
The next digit of our result is 7. 
Result so far: 1127.0
The remainder is 364 after subtracting 4816 from 5180.
Fetch the next digit (6) from the dividend, attach it to 364 and continue: 3646 / 688

Let's proceed to step 7:
688 can be fit into 3646 5 times, resulting in a remainder of 206.
Write down 5 as next digit of the result. 
Result so far: 11275.0
Deduct 3440 from 3646 and we're left with 206.
Fetch the next digit (0) from the dividend, attach it to 206 and continue: 2060 / 688

On to step 8:
688 goes into 2060 2 times with a remainder of 684.
The next digit of our result is 2. 
Result so far: 112752.0
Subtracting 1376 from 2060 leaves us with 684.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6840, and continue the process.

On to step 9:
When dividing 6840 by 688, we get 9 with a remainder of 648.
Record the quotient 9 as the next digit in the result. 
Result so far: 112752.9
The remainder is 648 after subtracting 6192 from 6840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6480, and continue the process.

Advancing to step 10:
If we divide 6480 by 688, we get 9 and a remainder of 288.
The number 9 becomes the next digit in our result. 
Result so far: 112752.99
The remainder is 288 after subtracting 6192 from 6480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

The final outcome is 112752.99, with a leftover of 0.288.