Let's divide 34517 by 87
We want to figure out the number of times 34517 can be divided by 87.

Moving on to step 1:
3 divided by 87 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 87

Moving on to step 2:
87 can be fit into 34 0 times, resulting in a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Fetch the next digit (5) from the dividend, attach it to 34 and continue: 345 / 87

Advancing to step 3:
The number 87 fits into 345 3 times, leaving a remainder of 84.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 261 from 345 leaves us with 84.
Fetch the next digit (1) from the dividend, attach it to 84 and continue: 841 / 87

Let's proceed to step 4:
87 can be fit into 841 9 times, resulting in a remainder of 58.
Write down 9 as next digit of the result. 
Result so far: 39.0
Deduct 783 from 841 and we're left with 58.
Append the next digit (7) from the dividend to 58 and continue with: 587 / 87

Advancing to step 5:
87 goes into 587 6 times with a remainder of 65.
Record the quotient 6 as the next digit in the result. 
Result so far: 396.0
Subtract 522 from 587 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 6:
650 divided by 87 is 7 with a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 396.7
If we take 609 away from 650, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 7:
When dividing 410 by 87, we get 4 with a remainder of 62.
The next digit of our result is 4. 
Result so far: 396.74
Subtract 348 from 410 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 8:
When dividing 620 by 87, we get 7 with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 396.747
The remainder is 11 after subtracting 609 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
If we divide 110 by 87, we get 1 and a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 396.7471
Subtracting 87 from 110 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 10:
When dividing 230 by 87, we get 2 with a remainder of 56.
Put 2 as the next digit of the answer. 
Result so far: 396.74712
Subtract 174 from 230 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 11:
The number 87 fits into 560 6 times, leaving a remainder of 38.
Record the quotient 6 as the next digit in the result. 
Result so far: 396.747126
The remainder is 38 after subtracting 522 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 12:
87 goes into 380 4 times with a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 396.7471264
Subtract 348 from 380 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 13:
320 divided by 87 is 3 with a remainder of 59.
Write down 3 as next digit of the result. 
Result so far: 396.74712643
Deduct 261 from 320 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

The final result is 396.74712643 with a remainder of 5.9e-08.