13311 ÷ 87 
We're looking to find how many times 87 goes into 13311.

Going ahead to step 1:
If we divide 1 by 87, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 87

Step 2:
If we divide 13 by 87, we get 0 and a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 87

Moving on to step 3:
87 can be fit into 133 1 times, resulting in a remainder of 46.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 87 from 133 to get 46.
Grab the next digit (1) from the dividend, add it to 46, then carry on: 461 / 87

On to step 4:
When dividing 461 by 87, we get 5 with a remainder of 26.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we take 435 away from 461, we end up with 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 87

Moving on to step 5:
87 goes into 261 3 times with a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 153.0
The remainder is 0 after subtracting 261 from 261.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 6:
The number 87 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 153.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
When dividing 0 by 87, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 153.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 153.0, and the remainder is 0.0.