575688 ÷ 61 
We want to figure out the number of times 575688 can be divided by 61.

Going ahead to step 1:
61 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 61

Advancing to step 2:
The number 61 fits into 57 0 times, leaving a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 57, we end up with 57.
Take the next digit (5) from the dividend and append it to 57, then repeat: 575 / 61

Advancing to step 3:
If we divide 575 by 61, we get 9 and a remainder of 26.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 549 away from 575, we end up with 26.
Fetch the next digit (6) from the dividend, attach it to 26 and continue: 266 / 61

Step 4:
The number 61 fits into 266 4 times, leaving a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 94.0
Deduct 244 from 266 and we're left with 22.
Bring next digit (8) of the dividend behind the 22 and repeat the process: 228 / 61

Step 5:
The number 61 fits into 228 3 times, leaving a remainder of 45.
Use 3 as the next digit of our solution. 
Result so far: 943.0
Subtracting 183 from 228 leaves us with 45.
Include the next digit (8) from the dividend after 45, then repeat: 458 / 61

Advancing to step 6:
61 can be fit into 458 7 times, resulting in a remainder of 31.
The next digit of our result is 7. 
Result so far: 9437.0
If we subtract 427 from 458, we get 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 7:
310 divided by 61 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 9437.5
If we subtract 305 from 310, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
If we divide 50 by 61, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 9437.5
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
If we divide 500 by 61, we get 8 and a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 9437.508
Deduct 488 from 500 and we're left 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 10:
61 goes into 120 1 times with a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 9437.5081
Subtract 61 from 120 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 11:
61 can be fit into 590 9 times, resulting in a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 9437.50819
Deduct 549 from 590 and we're left 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.

Moving on to step 12:
61 can be fit into 410 6 times, resulting in a remainder of 44.
The next digit of our result is 6. 
Result so far: 9437.508196
Deduct 366 from 410 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 13:
When dividing 440 by 61, we get 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 9437.5081967
Subtract 427 from 440 to 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.

Moving on to step 14:
61 can be fit into 130 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 9437.50819672
Subtracting 122 from 130 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 9437.50819672 with a remainder of 8e-09.