770390 ÷ 45 
Our goal is to divide 770390 by 45.

On to step 1:
The number 45 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 45

Step 2:
45 goes into 77 1 times with a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 45 from 77 and we're left with 32.
Bring next digit (0) of the dividend behind the 32 and repeat the process: 320 / 45

Step 3:
If we divide 320 by 45, we get 7 and a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Deduct 315 from 320 and we're left with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 45

Let's proceed to step 4:
When dividing 53 by 45, we get 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 171.0
Subtract 45 from 53 to get 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 45

Advancing to step 5:
The number 45 fits into 89 1 times, leaving a remainder of 44.
The next digit of our result is 1. 
Result so far: 1711.0
Subtracting 45 from 89 leaves us with 44.
Append the next digit (0) from the dividend to 44 and continue with: 440 / 45

Advancing to step 6:
The number 45 fits into 440 9 times, leaving a remainder of 35.
The number 9 becomes the next digit in our result. 
Result so far: 17119.0
Subtracting 405 from 440 leaves us 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 7:
45 goes into 350 7 times with a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 17119.7
If we take 315 away from 350, 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.

Step 8:
If we divide 350 by 45, we get 7 and a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 17119.77
If we take 315 away from 350, 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.

After the division, we end up with 17119.77 and a remainder of 0.035.