Let's divide 95740 by 17
We want to figure out the number of times 95740 can be divided by 17.

On to step 1:
The number 17 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 17

Going ahead to step 2:
The number 17 fits into 95 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 85 away from 95, we end up with 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 17

Advancing to step 3:
107 divided by 17 is 6 with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
Subtracting 102 from 107 leaves us with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 17

Advancing to step 4:
17 can be fit into 54 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 563.0
Subtract 51 from 54 to get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 17

Advancing to step 5:
30 divided by 17 is 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 5631.0
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.

On to step 6:
17 goes into 130 7 times with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 5631.7
If we take 119 away from 130, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
17 can be fit into 110 6 times, resulting in a remainder of 8.
The next digit of our result is 6. 
Result so far: 5631.76
If we subtract 102 from 110, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
The number 17 fits into 80 4 times, leaving a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 5631.764
If we take 68 away from 80, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
17 goes into 120 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 5631.7647
Subtracting 119 from 120 leaves us 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.

Going ahead to step 10:
17 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 5631.7647
If we take 0 away from 10, we end up 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.

On to step 11:
The number 17 fits into 100 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 5631.764705
If we take 85 away from 100, we end up 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.

Going ahead to step 12:
If we divide 150 by 17, we get 8 and a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 5631.7647058
Deduct 136 from 150 and we're left 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.

Going ahead to step 13:
17 can be fit into 140 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 5631.76470588
If we subtract 136 from 140, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 5631.76470588 and a remainder of 4e-09.