We're dividing 757844 by 45 
We're looking to find how many times 45 goes into 757844.

Going ahead 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.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 45

Let's proceed to step 2:
45 goes into 75 1 times with a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 30 after subtracting 45 from 75.
Append the next digit (7) from the dividend to 30 and continue with: 307 / 45

On to step 3:
307 divided by 45 is 6 with a remainder of 37.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we take 270 away from 307, we end up with 37.
Take the next digit (8) from the dividend and append it to 37, then repeat: 378 / 45

Step 4:
45 goes into 378 8 times with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 168.0
If we take 360 away from 378, we end up with 18.
Fetch the next digit (4) from the dividend, attach it to 18 and continue: 184 / 45

Going ahead to step 5:
The number 45 fits into 184 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 1684.0
Deduct 180 from 184 and we're left with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 45

Going ahead to step 6:
If we divide 44 by 45, we get 0 and a remainder of 44.
The next digit of our result is 0. 
Result so far: 16840.0
Deduct 0 from 44 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
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: 16840.9
Subtract 405 from 440 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 8:
45 can be fit into 350 7 times, resulting in a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 16840.97
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.

Advancing to step 9:
45 goes into 350 7 times with a remainder of 35.
The next digit of our result is 7. 
Result so far: 16840.977
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.

In conclusion, the division gives 16840.977 with a balance of 0.0035.