77556 ÷ 76 
Our goal is to divide 77556 by 76.

Moving on to step 1:
If we divide 7 by 76, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 76

Step 2:
76 can be fit into 77 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 76 from 77 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 76

On to step 3:
76 goes into 15 0 times with a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 15, we end up with 15.
Grab the next digit (5) from the dividend, add it to 15, then carry on: 155 / 76

Moving on to step 4:
If we divide 155 by 76, we get 2 and a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 102.0
Deduct 152 from 155 and we're left with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 76

Moving on to step 5:
When dividing 36 by 76, we get 0 with a remainder of 36.
The next digit of our result is 0. 
Result so far: 1020.0
The remainder is 36 after subtracting 0 from 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 6:
When dividing 360 by 76, we get 4 with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 1020.4
Subtracting 304 from 360 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 7:
If we divide 560 by 76, we get 7 and a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 1020.47
Subtract 532 from 560 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
The number 76 fits into 280 3 times, leaving a remainder of 52.
Put 3 as the next digit of the answer. 
Result so far: 1020.473
Subtract 228 from 280 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 9:
If we divide 520 by 76, we get 6 and a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 1020.4736
The remainder is 64 after subtracting 456 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 10:
If we divide 640 by 76, we get 8 and a remainder of 32.
The next digit of our result is 8. 
Result so far: 1020.47368
Deduct 608 from 640 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
320 divided by 76 is 4 with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 1020.473684
If we subtract 304 from 320, 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.

Going ahead to step 12:
160 divided by 76 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1020.4736842
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
76 goes into 80 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 1020.47368421
Deduct 76 from 80 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 1020.47368421 with a remainder of 4e-09.