Let's divide 517946 by 61
Our goal is to divide 517946 by 61.

Step 1:
When dividing 5 by 61, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 61

Let's proceed to step 2:
61 goes into 51 0 times with a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Include the next digit (7) from the dividend after 51, then repeat: 517 / 61

Advancing to step 3:
When dividing 517 by 61, we get 8 with a remainder of 29.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 29 after subtracting 488 from 517.
Fetch the next digit (9) from the dividend, attach it to 29 and continue: 299 / 61

Going ahead to step 4:
61 can be fit into 299 4 times, resulting in a remainder of 55.
The next digit of our result is 4. 
Result so far: 84.0
Subtract 244 from 299 to get 55.
Include the next digit (4) from the dividend after 55, then repeat: 554 / 61

Advancing to step 5:
61 goes into 554 9 times with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 849.0
If we take 549 away from 554, we end up with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 61

Step 6:
61 goes into 56 0 times with a remainder of 56.
The number 0 becomes the next digit in our result. 
Result so far: 8490.0
Subtracting 0 from 56 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 7:
560 divided by 61 is 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 8490.9
The remainder is 11 after subtracting 549 from 560.
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 8:
61 goes into 110 1 times with a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 8490.91
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 9:
490 divided by 61 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 8490.918
If we take 488 away from 490, we end up 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.

Going ahead to step 10:
61 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 8490.918
Deduct 0 from 20 and we're left 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.

On to step 11:
200 divided by 61 is 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 8490.91803
Subtracting 183 from 200 leaves us 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.

Going ahead to step 12:
When dividing 170 by 61, we get 2 with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 8490.918032
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.

Let's proceed to step 13:
480 divided by 61 is 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 8490.9180327
If we take 427 away from 480, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 14:
61 can be fit into 530 8 times, resulting in a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 8490.91803278
Subtract 488 from 530 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 8490.91803278 with a remainder of 4.2e-08.