We look at the division of 506618 by 59 
We're looking to find how many times 59 goes into 506618.

Step 1:
If we divide 5 by 59, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 59

Going ahead to step 2:
50 divided by 59 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Fetch the next digit (6) from the dividend, attach it to 50 and continue: 506 / 59

Let's proceed to step 3:
The number 59 fits into 506 8 times, leaving a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 34 after subtracting 472 from 506.
Take the next digit (6) from the dividend and append it to 34, then repeat: 346 / 59

Let's proceed to step 4:
If we divide 346 by 59, we get 5 and a remainder of 51.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
Subtracting 295 from 346 leaves us with 51.
Bring next digit (1) of the dividend behind the 51 and repeat the process: 511 / 59

Let's proceed to step 5:
511 divided by 59 is 8 with a remainder of 39.
Record the quotient 8 as the next digit in the result. 
Result so far: 858.0
Subtract 472 from 511 to get 39.
Take the next digit (8) from the dividend and append it to 39, then repeat: 398 / 59

On to step 6:
If we divide 398 by 59, we get 6 and a remainder of 44.
The next digit of our result is 6. 
Result so far: 8586.0
If we subtract 354 from 398, 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 7:
59 goes into 440 7 times with a remainder of 27.
Write down 7 as next digit of the result. 
Result so far: 8586.7
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.

Advancing to step 8:
If we divide 270 by 59, we get 4 and a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 8586.74
Subtract 236 from 270 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 9:
The number 59 fits into 340 5 times, leaving a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 8586.745
Subtracting 295 from 340 leaves us 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.

Moving on to step 10:
450 divided by 59 is 7 with a remainder of 37.
The number 7 becomes the next digit in our result. 
Result so far: 8586.7457
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:
59 goes into 370 6 times with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 8586.74576
Deduct 354 from 370 and we're left 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.

Moving on to step 12:
If we divide 160 by 59, we get 2 and a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 8586.745762
If we subtract 118 from 160, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 13:
When dividing 420 by 59, we get 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 8586.7457627
Deduct 413 from 420 and we're left 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.

Step 14:
When dividing 70 by 59, we get 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 8586.74576271
Subtracting 59 from 70 leaves us with 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 8586.74576271 with a remainder of 1.1e-08.