We look at the division of 580374 by 59 
We want to divide 580374 by 59.

On to step 1:
The number 59 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 59

Going ahead to step 2:
The number 59 fits into 58 0 times, leaving a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Bring next digit (0) of the dividend behind the 58 and repeat the process: 580 / 59

Let's proceed to step 3:
580 divided by 59 is 9 with a remainder of 49.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 531 from 580 and we're left with 49.
Grab the next digit (3) from the dividend, add it to 49, then carry on: 493 / 59

Advancing to step 4:
59 goes into 493 8 times with a remainder of 21.
The number 8 becomes the next digit in our result. 
Result so far: 98.0
If we take 472 away from 493, we end up with 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 59

Step 5:
59 goes into 217 3 times with a remainder of 40.
Write down 3 as next digit of the result. 
Result so far: 983.0
If we subtract 177 from 217, we get 40.
Take the next digit (4) from the dividend and append it to 40, then repeat: 404 / 59

Advancing to step 6:
If we divide 404 by 59, we get 6 and a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 9836.0
Subtracting 354 from 404 leaves us with 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 7:
If we divide 500 by 59, we get 8 and a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 9836.8
Subtracting 472 from 500 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
When dividing 280 by 59, we get 4 with a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 9836.84
If we subtract 236 from 280, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 9:
When dividing 440 by 59, we get 7 with a remainder of 27.
The next digit of our result is 7. 
Result so far: 9836.847
If we take 413 away from 440, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 10:
The number 59 fits into 270 4 times, leaving a remainder of 34.
Write down 4 as next digit of the result. 
Result so far: 9836.8474
Subtracting 236 from 270 leaves us 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.

Let's proceed to step 11:
59 can be fit into 340 5 times, resulting in a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 9836.84745
Subtract 295 from 340 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 12:
If we divide 450 by 59, we get 7 and a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 9836.847457
If we take 413 away from 450, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 13:
When dividing 370 by 59, we get 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 9836.8474576
If we take 354 away from 370, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 14:
When dividing 160 by 59, we get 2 with a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 9836.84745762
Deduct 118 from 160 and we're left with 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 outcome is 9836.84745762, with a leftover of 4.2e-08.