We're dividing 33517 by 74 
We want to figure out the number of times 33517 can be divided by 74.

Let's proceed to step 1:
If we divide 3 by 74, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 74

On to step 2:
If we divide 33 by 74, we get 0 and a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Bring next digit (5) of the dividend behind the 33 and repeat the process: 335 / 74

Step 3:
335 divided by 74 is 4 with a remainder of 39.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 296 away from 335, we end up with 39.
Include the next digit (1) from the dividend after 39, then repeat: 391 / 74

Let's proceed to step 4:
When dividing 391 by 74, we get 5 with a remainder of 21.
Use 5 as the next digit of our solution. 
Result so far: 45.0
If we subtract 370 from 391, we get 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 74

Advancing to step 5:
The number 74 fits into 217 2 times, leaving a remainder of 69.
The next digit of our result is 2. 
Result so far: 452.0
The remainder is 69 after subtracting 148 from 217.
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 6:
When dividing 690 by 74, we get 9 with a remainder of 24.
The next digit of our result is 9. 
Result so far: 452.9
Subtract 666 from 690 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
When dividing 240 by 74, we get 3 with a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 452.93
Subtract 222 from 240 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
When dividing 180 by 74, we get 2 with a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 452.932
The remainder is 32 after subtracting 148 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
320 divided by 74 is 4 with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 452.9324
Subtract 296 from 320 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 10:
74 can be fit into 240 3 times, resulting in a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 452.93243
If we subtract 222 from 240, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 11:
74 goes into 180 2 times with a remainder of 32.
The next digit of our result is 2. 
Result so far: 452.932432
Subtracting 148 from 180 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 12:
74 can be fit into 320 4 times, resulting in a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 452.9324324
If we take 296 away from 320, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 13:
74 goes into 240 3 times with a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 452.93243243
Subtracting 222 from 240 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The quotient of the division is 452.93243243, and the remainder is 1.8e-08.