We look at the division of 766903 by 59 
Our goal is to divide 766903 by 59.

Moving on to step 1:
59 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
The remainder is 7 after subtracting 0 from 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 59

Moving on to step 2:
59 goes into 76 1 times with a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 59 from 76 leaves us with 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 59

Step 3:
When dividing 176 by 59, we get 2 with a remainder of 58.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 58 after subtracting 118 from 176.
Grab the next digit (9) from the dividend, add it to 58, then carry on: 589 / 59

Advancing to step 4:
59 can be fit into 589 9 times, resulting in a remainder of 58.
Use 9 as the next digit of our solution. 
Result so far: 129.0
The remainder is 58 after subtracting 531 from 589.
Take the next digit (0) from the dividend and append it to 58, then repeat: 580 / 59

On to step 5:
59 can be fit into 580 9 times, resulting in a remainder of 49.
Write down 9 as next digit of the result. 
Result so far: 1299.0
If we subtract 531 from 580, we get 49.
Grab the next digit (3) from the dividend, add it to 49, then carry on: 493 / 59

Step 6:
59 can be fit into 493 8 times, resulting in a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 12998.0
If we subtract 472 from 493, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
If we divide 210 by 59, we get 3 and a remainder of 33.
The number 3 becomes the next digit in our result. 
Result so far: 12998.3
Subtracting 177 from 210 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 8:
59 goes into 330 5 times with a remainder of 35.
The next digit of our result is 5. 
Result so far: 12998.35
Subtract 295 from 330 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
When dividing 350 by 59, we get 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 12998.355
Subtract 295 from 350 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The final result is 12998.355 with a remainder of 0.0055.