We look at the division of 779426 by 45 
We want to divide 779426 by 45.

Advancing to step 1:
7 divided by 45 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 45

Let's proceed to step 2:
45 goes into 77 1 times with a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 45 from 77 to get 32.
Fetch the next digit (9) from the dividend, attach it to 32 and continue: 329 / 45

Advancing to step 3:
The number 45 fits into 329 7 times, leaving a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we take 315 away from 329, we end up with 14.
Append the next digit (4) from the dividend to 14 and continue with: 144 / 45

On to step 4:
If we divide 144 by 45, we get 3 and a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 173.0
Subtract 135 from 144 to get 9.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 45

Advancing to step 5:
When dividing 92 by 45, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 1732.0
Deduct 90 from 92 and we're left with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 45

On to step 6:
If we divide 26 by 45, we get 0 and a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 17320.0
Subtract 0 from 26 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
The number 45 fits into 260 5 times, leaving a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 17320.5
If we take 225 away from 260, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 17320.57
Deduct 315 from 350 and we're left with 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:
If we divide 350 by 45, we get 7 and a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 17320.577
If we subtract 315 from 350, we 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.

The final result is 17320.577 with a remainder of 0.0035.