Let's divide 303425 by 17
Our goal is to divide 303425 by 17.

Advancing to step 1:
The number 17 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 17

On to step 2:
30 divided by 17 is 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 17 from 30 leaves us with 13.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 17

Going ahead to step 3:
17 can be fit into 133 7 times, resulting in a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we take 119 away from 133, we end up with 14.
Take the next digit (4) from the dividend and append it to 14, then repeat: 144 / 17

Moving on to step 4:
144 divided by 17 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 178.0
Subtract 136 from 144 to get 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 17

On to step 5:
17 goes into 82 4 times with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 1784.0
Deduct 68 from 82 and we're left with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 17

Let's proceed to step 6:
17 can be fit into 145 8 times, resulting in a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 17848.0
If we take 136 away from 145, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
When dividing 90 by 17, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 17848.5
Deduct 85 from 90 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
17 goes into 50 2 times with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 17848.52
Deduct 34 from 50 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
17 can be fit into 160 9 times, resulting in a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 17848.529
Subtracting 153 from 160 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 10:
If we divide 70 by 17, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 17848.5294
If we take 68 away from 70, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
When dividing 20 by 17, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 17848.52941
The remainder is 3 after subtracting 17 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 12:
The number 17 fits into 30 1 times, leaving a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 17848.529411
If we subtract 17 from 30, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final outcome is 17848.529411, with a leftover of 1.3e-06.