503194 divided by 59 
Our goal is to divide 503194 by 59.

Let's proceed to step 1:
59 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 59

On to step 2:
59 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Bring next digit (3) of the dividend behind the 50 and repeat the process: 503 / 59

Going ahead to step 3:
When dividing 503 by 59, we get 8 with a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 472 from 503 to get 31.
Include the next digit (1) from the dividend after 31, then repeat: 311 / 59

Let's proceed to step 4:
311 divided by 59 is 5 with a remainder of 16.
Use 5 as the next digit of our solution. 
Result so far: 85.0
Subtracting 295 from 311 leaves us with 16.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 59

Step 5:
The number 59 fits into 169 2 times, leaving a remainder of 51.
Use 2 as the next digit of our solution. 
Result so far: 852.0
The remainder is 51 after subtracting 118 from 169.
Append the next digit (4) from the dividend to 51 and continue with: 514 / 59

On to step 6:
59 can be fit into 514 8 times, resulting in a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 8528.0
The remainder is 42 after subtracting 472 from 514.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 7:
When dividing 420 by 59, we get 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 8528.7
Subtracting 413 from 420 leaves us with 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 8:
70 divided by 59 is 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
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.

Going ahead to step 9:
If we divide 110 by 59, we get 1 and a remainder of 51.
Record the quotient 1 as the next digit in the result. 
Result so far: 8528.711
Deduct 59 from 110 and we're left with 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 quotient of the division is 8528.711, and the remainder is 0.0051.