125175 ÷ 45 
Let's see how many times 45 fits into 125175.

Step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 45

Advancing to step 2:
12 divided by 45 is 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 45

Going ahead to step 3:
125 divided by 45 is 2 with a remainder of 35.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 90 from 125 leaves us with 35.
Append the next digit (1) from the dividend to 35 and continue with: 351 / 45

Let's proceed to step 4:
The number 45 fits into 351 7 times, leaving a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
Deduct 315 from 351 and we're left with 36.
Fetch the next digit (7) from the dividend, attach it to 36 and continue: 367 / 45

Step 5:
367 divided by 45 is 8 with a remainder of 7.
The number 8 becomes the next digit in our result. 
Result so far: 278.0
Deduct 360 from 367 and we're left with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 45

Moving on to step 6:
45 can be fit into 75 1 times, resulting in a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 2781.0
The remainder is 30 after subtracting 45 from 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
When dividing 300 by 45, we get 6 with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 2781.6
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 2781.66
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.

The final outcome is 2781.66, with a leftover of 0.03.