We look at the division of 65517 by 61 
We want to figure out the number of times 65517 can be divided by 61.

Advancing to step 1:
If we divide 6 by 61, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 61

Advancing to step 2:
61 can be fit into 65 1 times, resulting in a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 61 from 65, we get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 61

Let's proceed to step 3:
61 can be fit into 45 0 times, resulting in a remainder of 45.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 45 leaves us with 45.
Bring next digit (1) of the dividend behind the 45 and repeat the process: 451 / 61

Going ahead to step 4:
61 goes into 451 7 times with a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 107.0
Deduct 427 from 451 and we're left with 24.
Bring next digit (7) of the dividend behind the 24 and repeat the process: 247 / 61

Step 5:
The number 61 fits into 247 4 times, leaving a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 1074.0
Subtracting 244 from 247 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 6:
The number 61 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 1074.0
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
61 can be fit into 300 4 times, resulting in a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 1074.04
The remainder is 56 after subtracting 244 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 8:
560 divided by 61 is 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 1074.049
Deduct 549 from 560 and we're left 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.

Let's proceed to step 9:
110 divided by 61 is 1 with a remainder of 49.
Put 1 as the next digit of the answer. 
Result so far: 1074.0491
Subtracting 61 from 110 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 10:
When dividing 490 by 61, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 1074.04918
Subtracting 488 from 490 leaves us 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.

Advancing to step 11:
When dividing 20 by 61, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 1074.04918
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
61 can be fit into 200 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 1074.0491803
If we take 183 away from 200, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 13:
If we divide 170 by 61, we get 2 and a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 1074.04918032
If we take 122 away from 170, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The final outcome is 1074.04918032, with a leftover of 4.8e-08.