We're dividing 125045 by 87 
We want to figure out the number of times 125045 can be divided by 87.

Step 1:
When dividing 1 by 87, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 87

Step 2:
12 divided by 87 is 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 87

Advancing to step 3:
The number 87 fits into 125 1 times, leaving a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 38 after subtracting 87 from 125.
Append the next digit (0) from the dividend to 38 and continue with: 380 / 87

Going ahead to step 4:
87 can be fit into 380 4 times, resulting in a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Subtracting 348 from 380 leaves us with 32.
Fetch the next digit (4) from the dividend, attach it to 32 and continue: 324 / 87

Let's proceed to step 5:
When dividing 324 by 87, we get 3 with a remainder of 63.
Use 3 as the next digit of our solution. 
Result so far: 143.0
The remainder is 63 after subtracting 261 from 324.
Bring next digit (5) of the dividend behind the 63 and repeat the process: 635 / 87

Moving on to step 6:
87 goes into 635 7 times with a remainder of 26.
The next digit of our result is 7. 
Result so far: 1437.0
Deduct 609 from 635 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
87 goes into 260 2 times with a remainder of 86.
Use 2 as the next digit of our solution. 
Result so far: 1437.2
Subtracting 174 from 260 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 8:
The number 87 fits into 860 9 times, leaving a remainder of 77.
The next digit of our result is 9. 
Result so far: 1437.29
Subtract 783 from 860 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 9:
87 can be fit into 770 8 times, resulting in a remainder of 74.
The number 8 becomes the next digit in our result. 
Result so far: 1437.298
Deduct 696 from 770 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 10:
If we divide 740 by 87, we get 8 and a remainder of 44.
Put 8 as the next digit of the answer. 
Result so far: 1437.2988
Subtract 696 from 740 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 1437.2988 with a balance of 0.00044.