We're dividing 771033 by 45 
Our goal is to divide 771033 by 45.

Let's proceed to step 1:
45 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 45

Step 2:
The number 45 fits into 77 1 times, leaving a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 45 from 77, we get 32.
Bring next digit (1) of the dividend behind the 32 and repeat the process: 321 / 45

Going ahead to step 3:
45 can be fit into 321 7 times, resulting in a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 315 from 321 and we're left with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 45

Moving on to step 4:
60 divided by 45 is 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 171.0
Subtract 45 from 60 to get 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 45

Going ahead to step 5:
When dividing 153 by 45, we get 3 with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 1713.0
Subtract 135 from 153 to get 18.
Include the next digit (3) from the dividend after 18, then repeat: 183 / 45

Step 6:
183 divided by 45 is 4 with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 17134.0
If we take 180 away from 183, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
If we divide 30 by 45, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 17134.0
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
If we divide 300 by 45, we get 6 and a remainder of 30.
The next digit of our result is 6. 
Result so far: 17134.06
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
300 divided by 45 is 6 with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 17134.066
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 17134.066 with a balance of 0.003.