We're dividing 575766 by 59 
We're looking to find how many times 59 goes into 575766.

Moving on to step 1:
59 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 59

On to step 2:
59 goes into 57 0 times with a remainder of 57.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 57 to get 57.
Grab the next digit (5) from the dividend, add it to 57, then carry on: 575 / 59

Advancing to step 3:
The number 59 fits into 575 9 times, leaving a remainder of 44.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 531 from 575 to get 44.
Fetch the next digit (7) from the dividend, attach it to 44 and continue: 447 / 59

Moving on to step 4:
59 can be fit into 447 7 times, resulting in a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 97.0
Deduct 413 from 447 and we're left with 34.
Fetch the next digit (6) from the dividend, attach it to 34 and continue: 346 / 59

Let's proceed to step 5:
The number 59 fits into 346 5 times, leaving a remainder of 51.
Write down 5 as next digit of the result. 
Result so far: 975.0
If we subtract 295 from 346, we get 51.
Fetch the next digit (6) from the dividend, attach it to 51 and continue: 516 / 59

Going ahead to step 6:
When dividing 516 by 59, we get 8 with a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 9758.0
If we take 472 away from 516, we end up 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.

On to step 7:
When dividing 440 by 59, we get 7 with a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 9758.7
Subtract 413 from 440 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 8:
59 goes into 270 4 times with a remainder of 34.
The next digit of our result is 4. 
Result so far: 9758.74
Deduct 236 from 270 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 9:
When dividing 340 by 59, we get 5 with a remainder of 45.
The next digit of our result is 5. 
Result so far: 9758.745
If we take 295 away from 340, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 10:
59 can be fit into 450 7 times, resulting in a remainder of 37.
Use 7 as the next digit of our solution. 
Result so far: 9758.7457
If we subtract 413 from 450, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 11:
370 divided by 59 is 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 9758.74576
Subtract 354 from 370 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 12:
59 can be fit into 160 2 times, resulting in a remainder of 42.
Record the quotient 2 as the next digit in the result. 
Result so far: 9758.745762
The remainder is 42 after subtracting 118 from 160.
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 13:
When dividing 420 by 59, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 9758.7457627
If we subtract 413 from 420, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 14:
59 can be fit into 70 1 times, resulting in a remainder of 11.
The next digit of our result is 1. 
Result so far: 9758.74576271
Subtract 59 from 70 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 9758.74576271 with a remainder of 1.1e-08.