We're dividing 71737 by 65 
We're looking to find how many times 65 goes into 71737.

Step 1:
If we divide 7 by 65, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 65

Advancing to step 2:
65 can be fit into 71 1 times, resulting in a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 65 away from 71, we end up with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 65

Let's proceed to step 3:
If we divide 67 by 65, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 65 away from 67, we end up with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 65

Going ahead to step 4:
65 can be fit into 23 0 times, resulting in a remainder of 23.
The next digit of our result is 0. 
Result so far: 110.0
Subtracting 0 from 23 leaves us with 23.
Take the next digit (7) from the dividend and append it to 23, then repeat: 237 / 65

Moving on to step 5:
65 goes into 237 3 times with a remainder of 42.
The next digit of our result is 3. 
Result so far: 1103.0
Deduct 195 from 237 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 6:
65 goes into 420 6 times with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 1103.6
If we subtract 390 from 420, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 1103.64
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
65 goes into 400 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 1103.646
Subtract 390 from 400 to get 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 9:
If we divide 100 by 65, we get 1 and a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 1103.6461
Subtracting 65 from 100 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 10:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 1103.64615
If we take 325 away from 350, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 11:
65 can be fit into 250 3 times, resulting in a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 1103.646153
Subtracting 195 from 250 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 12:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 1103.6461538
Subtract 520 from 550 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 13:
65 can be fit into 300 4 times, resulting in a remainder of 40.
The next digit of our result is 4. 
Result so far: 1103.64615384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 1103.64615384, with a leftover of 4e-08.