We're dividing 770591 by 51 
We're looking to find how many times 51 goes into 770591.

Advancing to step 1:
The number 51 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 51

On to step 2:
The number 51 fits into 77 1 times, leaving a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 51 away from 77, we end up with 26.
Take the next digit (0) from the dividend and append it to 26, then repeat: 260 / 51

Advancing to step 3:
51 can be fit into 260 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtracting 255 from 260 leaves us with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 51

Let's proceed to step 4:
The number 51 fits into 55 1 times, leaving a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 151.0
Subtract 51 from 55 to get 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 51

On to step 5:
51 goes into 49 0 times with a remainder of 49.
Put 0 as the next digit of the answer. 
Result so far: 1510.0
Deduct 0 from 49 and we're left with 49.
Fetch the next digit (1) from the dividend, attach it to 49 and continue: 491 / 51

Going ahead to step 6:
491 divided by 51 is 9 with a remainder of 32.
The number 9 becomes the next digit in our result. 
Result so far: 15109.0
If we subtract 459 from 491, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
51 goes into 320 6 times with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 15109.6
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
When dividing 140 by 51, we get 2 with a remainder of 38.
The next digit of our result is 2. 
Result so far: 15109.62
The remainder is 38 after subtracting 102 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 9:
If we divide 380 by 51, we get 7 and a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 15109.627
The remainder is 23 after subtracting 357 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 10:
The number 51 fits into 230 4 times, leaving a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 15109.6274
The remainder is 26 after subtracting 204 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 11:
51 can be fit into 260 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15109.62745
Deduct 255 from 260 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
51 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 15109.62745
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 13:
500 divided by 51 is 9 with a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 15109.6274509
If we take 459 away from 500, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 14:
51 can be fit into 410 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 15109.62745098
If we take 408 away from 410, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 15109.62745098 with a balance of 2e-09.