We look at the division of 58295 by 45 
We're looking to find how many times 45 goes into 58295.

Advancing to step 1:
When dividing 5 by 45, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 45

On to step 2:
45 can be fit into 58 1 times, resulting in a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 45 from 58 and we're left with 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 45

Going ahead to step 3:
If we divide 132 by 45, we get 2 and a remainder of 42.
Write down 2 as next digit of the result. 
Result so far: 12.0
Subtract 90 from 132 to get 42.
Fetch the next digit (9) from the dividend, attach it to 42 and continue: 429 / 45

Going ahead to step 4:
429 divided by 45 is 9 with a remainder of 24.
The next digit of our result is 9. 
Result so far: 129.0
If we subtract 405 from 429, we get 24.
Fetch the next digit (5) from the dividend, attach it to 24 and continue: 245 / 45

On to step 5:
If we divide 245 by 45, we get 5 and a remainder of 20.
The next digit of our result is 5. 
Result so far: 1295.0
Subtracting 225 from 245 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 6:
200 divided by 45 is 4 with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 1295.4
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
The number 45 fits into 200 4 times, leaving a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 1295.44
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 1295.44 and a remainder of 0.02.