Let's divide 177359 by 45
We want to figure out the number of times 177359 can be divided by 45.

Step 1:
45 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 45

On to step 2:
If we divide 17 by 45, we get 0 and a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Include the next digit (7) from the dividend after 17, then repeat: 177 / 45

Going ahead to step 3:
45 can be fit into 177 3 times, resulting in a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 135 from 177 leaves us with 42.
Append the next digit (3) from the dividend to 42 and continue with: 423 / 45

Moving on to step 4:
The number 45 fits into 423 9 times, leaving a remainder of 18.
The next digit of our result is 9. 
Result so far: 39.0
If we take 405 away from 423, we end up with 18.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 45

On to step 5:
If we divide 185 by 45, we get 4 and a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 394.0
The remainder is 5 after subtracting 180 from 185.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 45

Let's proceed to step 6:
The number 45 fits into 59 1 times, leaving a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 3941.0
Subtract 45 from 59 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
The number 45 fits into 140 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 3941.3
If we take 135 away from 140, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
The number 45 fits into 50 1 times, leaving a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 3941.31
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
The number 45 fits into 50 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 3941.311
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 3941.311 with a balance of 0.0005.