We look at the division of 769618 by 51 
Our goal is to divide 769618 by 51.

Advancing to step 1:
51 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 51

Advancing to step 2:
If we divide 76 by 51, we get 1 and a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 51 away from 76, we end up with 25.
Take the next digit (9) from the dividend and append it to 25, then repeat: 259 / 51

Moving on to step 3:
51 goes into 259 5 times with a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtract 255 from 259 to get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 51

Step 4:
The number 51 fits into 46 0 times, leaving a remainder of 46.
Use 0 as the next digit of our solution. 
Result so far: 150.0
The remainder is 46 after subtracting 0 from 46.
Append the next digit (1) from the dividend to 46 and continue with: 461 / 51

Let's proceed to step 5:
51 goes into 461 9 times with a remainder of 2.
The next digit of our result is 9. 
Result so far: 1509.0
Subtract 459 from 461 to get 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 51

Advancing to step 6:
51 can be fit into 28 0 times, resulting in a remainder of 28.
Record the quotient 0 as the next digit in the result. 
Result so far: 15090.0
Subtracting 0 from 28 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
51 goes into 280 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 15090.5
If we subtract 255 from 280, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
The number 51 fits into 250 4 times, leaving a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 15090.54
If we subtract 204 from 250, we get 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 9:
51 can be fit into 460 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 15090.549
The remainder is 1 after subtracting 459 from 460.
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 10:
10 divided by 51 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 15090.549
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
51 can be fit into 100 1 times, resulting in a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 15090.54901
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.

Going ahead to step 12:
51 can be fit into 490 9 times, resulting in a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 15090.549019
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.

Step 13:
51 goes into 310 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 15090.5490196
If we take 306 away from 310, we end up 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.

On to step 14:
When dividing 40 by 51, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 15090.5490196
Subtracting 0 from 40 leaves us 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.

The final outcome is 15090.5490196, with a leftover of 4e-08.