Let's divide 76102 by 51
We're looking to find how many times 51 goes into 76102.

Advancing to step 1:
7 divided by 51 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 51

Going ahead to step 2:
76 divided by 51 is 1 with a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 51 from 76 to get 25.
Fetch the next digit (1) from the dividend, attach it to 25 and continue: 251 / 51

Advancing to step 3:
When dividing 251 by 51, we get 4 with a remainder of 47.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we subtract 204 from 251, we get 47.
Grab the next digit (0) from the dividend, add it to 47, then carry on: 470 / 51

Going ahead to step 4:
470 divided by 51 is 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 149.0
Subtract 459 from 470 to get 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 51

On to step 5:
51 goes into 112 2 times with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 1492.0
Subtract 102 from 112 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 6:
51 can be fit into 100 1 times, resulting in a remainder of 49.
The next digit of our result is 1. 
Result so far: 1492.1
If we subtract 51 from 100, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 7:
The number 51 fits into 490 9 times, leaving a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 1492.19
The remainder is 31 after subtracting 459 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 8:
When dividing 310 by 51, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 1492.196
Subtracting 306 from 310 leaves us 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.

Advancing to step 9:
When dividing 40 by 51, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 1492.196
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
400 divided by 51 is 7 with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 1492.19607
Deduct 357 from 400 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 11:
430 divided by 51 is 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 1492.196078
If we take 408 away from 430, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
When dividing 220 by 51, we get 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 1492.1960784
Subtracting 204 from 220 leaves us with 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 13:
51 goes into 160 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 1492.19607843
Deduct 153 from 160 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 1492.19607843 with a balance of 7e-09.