We're dividing 503194 by 59 
Our goal is to divide 503194 by 59.

On to step 1:
5 divided by 59 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 59

Moving on to step 2:
If we divide 50 by 59, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Fetch the next digit (3) from the dividend, attach it to 50 and continue: 503 / 59

On to step 3:
59 goes into 503 8 times with a remainder of 31.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 472 from 503 leaves us with 31.
Include the next digit (1) from the dividend after 31, then repeat: 311 / 59

On to step 4:
The number 59 fits into 311 5 times, leaving a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
If we take 295 away from 311, we end up with 16.
Include the next digit (9) from the dividend after 16, then repeat: 169 / 59

Step 5:
59 can be fit into 169 2 times, resulting in a remainder of 51.
The number 2 becomes the next digit in our result. 
Result so far: 852.0
Subtracting 118 from 169 leaves us with 51.
Grab the next digit (4) from the dividend, add it to 51, then carry on: 514 / 59

Moving on to step 6:
The number 59 fits into 514 8 times, leaving a remainder of 42.
The next digit of our result is 8. 
Result so far: 8528.0
Deduct 472 from 514 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.

On to step 7:
59 can be fit into 420 7 times, resulting in a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 8528.7
Subtract 413 from 420 to 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.

Let's proceed to step 8:
59 goes into 70 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 8528.71
The remainder is 11 after subtracting 59 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
59 goes into 110 1 times with a remainder of 51.
Put 1 as the next digit of the answer. 
Result so far: 8528.711
If we subtract 59 from 110, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The final outcome is 8528.711, with a leftover of 0.0051.