We're dividing 975835 by 61 
We want to figure out the number of times 975835 can be divided by 61.

Step 1:
When dividing 9 by 61, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 61

Step 2:
The number 61 fits into 97 1 times, leaving a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 36 after subtracting 61 from 97.
Fetch the next digit (5) from the dividend, attach it to 36 and continue: 365 / 61

On to step 3:
61 can be fit into 365 5 times, resulting in a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 305 from 365 to get 60.
Bring next digit (8) of the dividend behind the 60 and repeat the process: 608 / 61

Moving on to step 4:
61 goes into 608 9 times with a remainder of 59.
The next digit of our result is 9. 
Result so far: 159.0
Subtracting 549 from 608 leaves us with 59.
Grab the next digit (3) from the dividend, add it to 59, then carry on: 593 / 61

Step 5:
593 divided by 61 is 9 with a remainder of 44.
Put 9 as the next digit of the answer. 
Result so far: 1599.0
Subtract 549 from 593 to get 44.
Fetch the next digit (5) from the dividend, attach it to 44 and continue: 445 / 61

Going ahead to step 6:
The number 61 fits into 445 7 times, leaving a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 15997.0
If we subtract 427 from 445, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
61 goes into 180 2 times with a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 15997.2
Subtracting 122 from 180 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 8:
The number 61 fits into 580 9 times, leaving a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 15997.29
Deduct 549 from 580 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 9:
310 divided by 61 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 15997.295
Subtracting 305 from 310 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
If we divide 50 by 61, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 15997.295
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 11:
61 can be fit into 500 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 15997.29508
If we take 488 away from 500, 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.

Advancing to step 12:
When dividing 120 by 61, we get 1 with a remainder of 59.
The number 1 becomes the next digit in our result. 
Result so far: 15997.295081
Deduct 61 from 120 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 13:
61 can be fit into 590 9 times, resulting in a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 15997.2950819
Subtracting 549 from 590 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 14:
If we divide 410 by 61, we get 6 and a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 15997.29508196
The remainder is 44 after subtracting 366 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The final result is 15997.29508196 with a remainder of 4.4e-08.