125312 ÷ 45 
We want to divide 125312 by 45.

Moving on to step 1:
45 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 45

Going ahead to step 2:
45 can be fit into 12 0 times, resulting in a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 45

Let's proceed to step 3:
When dividing 125 by 45, we get 2 with a remainder of 35.
The next digit of our result is 2. 
Result so far: 2.0
If we take 90 away from 125, we end up with 35.
Include the next digit (3) from the dividend after 35, then repeat: 353 / 45

Going ahead to step 4:
The number 45 fits into 353 7 times, leaving a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
Subtracting 315 from 353 leaves us with 38.
Take the next digit (1) from the dividend and append it to 38, then repeat: 381 / 45

Moving on to step 5:
The number 45 fits into 381 8 times, leaving a remainder of 21.
The number 8 becomes the next digit in our result. 
Result so far: 278.0
The remainder is 21 after subtracting 360 from 381.
Append the next digit (2) from the dividend to 21 and continue with: 212 / 45

Let's proceed to step 6:
45 can be fit into 212 4 times, resulting in a remainder of 32.
The next digit of our result is 4. 
Result so far: 2784.0
Deduct 180 from 212 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
The number 45 fits into 320 7 times, leaving a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 2784.7
Subtracting 315 from 320 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.

Advancing to step 8:
45 goes into 50 1 times with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 2784.71
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
When dividing 50 by 45, we get 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 2784.711
The remainder is 5 after subtracting 45 from 50.
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 2784.711 with a balance of 0.0005.