Let's divide 129645 by 87
We want to figure out the number of times 129645 can be divided by 87.

Step 1:
1 divided by 87 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 87

Let's proceed to step 2:
The number 87 fits into 12 0 times, leaving a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 87

Step 3:
The number 87 fits into 129 1 times, leaving a remainder of 42.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 87 from 129, we get 42.
Append the next digit (6) from the dividend to 42 and continue with: 426 / 87

Let's proceed to step 4:
87 goes into 426 4 times with a remainder of 78.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtracting 348 from 426 leaves us with 78.
Take the next digit (4) from the dividend and append it to 78, then repeat: 784 / 87

Moving on to step 5:
87 can be fit into 784 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 149.0
Deduct 783 from 784 and we're left with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 87

Let's proceed to step 6:
If we divide 15 by 87, we get 0 and a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 1490.0
The remainder is 15 after subtracting 0 from 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
If we divide 150 by 87, we get 1 and a remainder of 63.
The next digit of our result is 1. 
Result so far: 1490.1
Deduct 87 from 150 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 8:
630 divided by 87 is 7 with a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 1490.17
The remainder is 21 after subtracting 609 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 9:
The number 87 fits into 210 2 times, leaving a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 1490.172
If we take 174 away from 210, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 10:
If we divide 360 by 87, we get 4 and a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 1490.1724
If we take 348 away from 360, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
The number 87 fits into 120 1 times, leaving a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 1490.17241
If we take 87 away from 120, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 12:
87 can be fit into 330 3 times, resulting in a remainder of 69.
The next digit of our result is 3. 
Result so far: 1490.172413
The remainder is 69 after subtracting 261 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 13:
If we divide 690 by 87, we get 7 and a remainder of 81.
Use 7 as the next digit of our solution. 
Result so far: 1490.1724137
Subtract 609 from 690 to get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

On to step 14:
87 can be fit into 810 9 times, resulting in a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 1490.17241379
Deduct 783 from 810 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

In conclusion, the division gives 1490.17241379 with a balance of 2.7e-08.