We look at the division of 17309730 by 601 
We're looking to find how many times 601 goes into 17309730.

Advancing to step 1:
The number 601 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 601

Let's proceed to step 2:
When dividing 17 by 601, we get 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Include the next digit (3) from the dividend after 17, then repeat: 173 / 601

Let's proceed to step 3:
601 can be fit into 173 0 times, resulting in a remainder of 173.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 173 leaves us with 173.
Grab the next digit (0) from the dividend, add it to 173, then carry on: 1730 / 601

Step 4:
601 can be fit into 1730 2 times, resulting in a remainder of 528.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 528 after subtracting 1202 from 1730.
Fetch the next digit (9) from the dividend, attach it to 528 and continue: 5289 / 601

Advancing to step 5:
601 goes into 5289 8 times with a remainder of 481.
Write down 8 as next digit of the result. 
Result so far: 28.0
Subtracting 4808 from 5289 leaves us with 481.
Bring next digit (7) of the dividend behind the 481 and repeat the process: 4817 / 601

Let's proceed to step 6:
601 goes into 4817 8 times with a remainder of 9.
The next digit of our result is 8. 
Result so far: 288.0
If we take 4808 away from 4817, we end up with 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 601

Going ahead to step 7:
The number 601 fits into 93 0 times, leaving a remainder of 93.
The number 0 becomes the next digit in our result. 
Result so far: 2880.0
Subtract 0 from 93 to get 93.
Bring next digit (0) of the dividend behind the 93 and repeat the process: 930 / 601

Advancing to step 8:
601 goes into 930 1 times with a remainder of 329.
Use 1 as the next digit of our solution. 
Result so far: 28801.0
If we take 601 away from 930, we end up with 329.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3290, and continue the process.

Going ahead to step 9:
601 can be fit into 3290 5 times, resulting in a remainder of 285.
Use 5 as the next digit of our solution. 
Result so far: 28801.5
The remainder is 285 after subtracting 3005 from 3290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

Moving on to step 10:
601 goes into 2850 4 times with a remainder of 446.
Write down 4 as next digit of the result. 
Result so far: 28801.54
If we subtract 2404 from 2850, we get 446.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4460, and continue the process.

On to step 11:
If we divide 4460 by 601, we get 7 and a remainder of 253.
The number 7 becomes the next digit in our result. 
Result so far: 28801.547
Subtracting 4207 from 4460 leaves us with 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Going ahead to step 12:
The number 601 fits into 2530 4 times, leaving a remainder of 126.
The next digit of our result is 4. 
Result so far: 28801.5474
Subtracting 2404 from 2530 leaves us with 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Advancing to step 13:
The number 601 fits into 1260 2 times, leaving a remainder of 58.
Write down 2 as next digit of the result. 
Result so far: 28801.54742
If we take 1202 away from 1260, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 14:
When dividing 580 by 601, we get 0 with a remainder of 580.
Put 0 as the next digit of the answer. 
Result so far: 28801.54742
The remainder is 580 after subtracting 0 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Let's proceed to step 15:
When dividing 5800 by 601, we get 9 with a remainder of 391.
The next digit of our result is 9. 
Result so far: 28801.5474209
If we take 5409 away from 5800, we end up with 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

On to step 16:
If we divide 3910 by 601, we get 6 and a remainder of 304.
Put 6 as the next digit of the answer. 
Result so far: 28801.54742096
Deduct 3606 from 3910 and we're left with 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

The final result is 28801.54742096 with a remainder of 3.04e-07.