13680 divided by 87 
We're looking to find how many times 87 goes into 13680.

Step 1:
If we divide 1 by 87, we get 0 and 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.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 87

Going ahead to step 2:
When dividing 13 by 87, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 87

Let's proceed to step 3:
136 divided by 87 is 1 with a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 49 after subtracting 87 from 136.
Take the next digit (8) from the dividend and append it to 49, then repeat: 498 / 87

Advancing to step 4:
The number 87 fits into 498 5 times, leaving a remainder of 63.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we subtract 435 from 498, we get 63.
Bring next digit (0) of the dividend behind the 63 and repeat the process: 630 / 87

Moving on to step 5:
87 can be fit into 630 7 times, resulting in a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 157.0
If we subtract 609 from 630, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 6:
The number 87 fits into 210 2 times, leaving a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 157.2
Subtracting 174 from 210 leaves us 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.

Advancing to step 7:
360 divided by 87 is 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 157.24
The remainder is 12 after subtracting 348 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
If we divide 120 by 87, we get 1 and a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 157.241
Deduct 87 from 120 and we're left 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.

Step 9:
330 divided by 87 is 3 with a remainder of 69.
Record the quotient 3 as the next digit in the result. 
Result so far: 157.2413
Deduct 261 from 330 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 10:
87 goes into 690 7 times with a remainder of 81.
Record the quotient 7 as the next digit in the result. 
Result so far: 157.24137
Deduct 609 from 690 and we're left with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Moving on to step 11:
When dividing 810 by 87, we get 9 with a remainder of 27.
Put 9 as the next digit of the answer. 
Result so far: 157.241379
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.

Moving on to step 12:
270 divided by 87 is 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 157.2413793
Subtract 261 from 270 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
If we divide 90 by 87, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 157.24137931
If we take 87 away from 90, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 157.24137931, and the remainder is 3e-09.