We look at the division of 65258 by 17 
Our goal is to divide 65258 by 17.

Moving on to step 1:
When dividing 6 by 17, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 17

Step 2:
If we divide 65 by 17, we get 3 and a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 51 from 65 and we're left with 14.
Bring next digit (2) of the dividend behind the 14 and repeat the process: 142 / 17

On to step 3:
If we divide 142 by 17, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 38.0
Subtract 136 from 142 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 17

Step 4:
The number 17 fits into 65 3 times, leaving a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 383.0
Deduct 51 from 65 and we're left with 14.
Grab the next digit (8) from the dividend, add it to 14, then carry on: 148 / 17

Going ahead to step 5:
148 divided by 17 is 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 3838.0
The remainder is 12 after subtracting 136 from 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 6:
17 can be fit into 120 7 times, resulting in a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 3838.7
Deduct 119 from 120 and we're left with 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 7:
17 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 3838.7
Deduct 0 from 10 and we're left 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 8:
If we divide 100 by 17, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 3838.705
Deduct 85 from 100 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 9:
17 can be fit into 150 8 times, resulting in a remainder of 14.
The next digit of our result is 8. 
Result so far: 3838.7058
Subtracting 136 from 150 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 10:
17 can be fit into 140 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 3838.70588
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 3838.70588 with a remaining 4e-06.