We look at the division of 533417 by 87 
We want to figure out the number of times 533417 can be divided by 87.

Step 1:
If we divide 5 by 87, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 87

On to step 2:
When dividing 53 by 87, we get 0 with a remainder of 53.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 53 to get 53.
Bring next digit (3) of the dividend behind the 53 and repeat the process: 533 / 87

Going ahead to step 3:
533 divided by 87 is 6 with a remainder of 11.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 11 after subtracting 522 from 533.
Bring next digit (4) of the dividend behind the 11 and repeat the process: 114 / 87

Let's proceed to step 4:
When dividing 114 by 87, we get 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Subtract 87 from 114 to get 27.
Fetch the next digit (1) from the dividend, attach it to 27 and continue: 271 / 87

Let's proceed to step 5:
87 goes into 271 3 times with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 613.0
If we take 261 away from 271, we end up with 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 87

Advancing to step 6:
107 divided by 87 is 1 with a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 6131.0
If we take 87 away from 107, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
87 goes into 200 2 times with a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 6131.2
The remainder is 26 after subtracting 174 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
If we divide 260 by 87, we get 2 and a remainder of 86.
The next digit of our result is 2. 
Result so far: 6131.22
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.

Our division results in 6131.22 with a remaining 0.086.