Let's divide 253584 by 17
We want to divide 253584 by 17.

Moving on to step 1:
The number 17 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 17

On to step 2:
When dividing 25 by 17, we get 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 17 from 25 to get 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 17

Advancing to step 3:
17 can be fit into 83 4 times, resulting in a remainder of 15.
The next digit of our result is 4. 
Result so far: 14.0
Subtracting 68 from 83 leaves us with 15.
Append the next digit (5) from the dividend to 15 and continue with: 155 / 17

Advancing to step 4:
155 divided by 17 is 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 149.0
Subtract 153 from 155 to get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 17

Going ahead to step 5:
When dividing 28 by 17, we get 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1491.0
Deduct 17 from 28 and we're left with 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 17

Going ahead to step 6:
114 divided by 17 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 14916.0
Subtract 102 from 114 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
120 divided by 17 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 14916.7
Subtract 119 from 120 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
The number 17 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 14916.7
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
The number 17 fits into 100 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 14916.705
If we subtract 85 from 100, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 10:
150 divided by 17 is 8 with a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 14916.7058
The remainder is 14 after subtracting 136 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 11:
The number 17 fits into 140 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 14916.70588
Deduct 136 from 140 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 14916.70588, and the remainder is 4e-06.