511051 divided by 59 
Our goal is to divide 511051 by 59.

Step 1:
When dividing 5 by 59, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 59

Advancing to step 2:
If we divide 51 by 59, we get 0 and a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Fetch the next digit (1) from the dividend, attach it to 51 and continue: 511 / 59

Moving on to step 3:
59 goes into 511 8 times with a remainder of 39.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 472 away from 511, we end up with 39.
Take the next digit (0) from the dividend and append it to 39, then repeat: 390 / 59

Moving on to step 4:
The number 59 fits into 390 6 times, leaving a remainder of 36.
Use 6 as the next digit of our solution. 
Result so far: 86.0
Subtracting 354 from 390 leaves us with 36.
Take the next digit (5) from the dividend and append it to 36, then repeat: 365 / 59

On to step 5:
If we divide 365 by 59, we get 6 and a remainder of 11.
Write down 6 as next digit of the result. 
Result so far: 866.0
Subtract 354 from 365 to get 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 59

Let's proceed to step 6:
When dividing 111 by 59, we get 1 with a remainder of 52.
Use 1 as the next digit of our solution. 
Result so far: 8661.0
Deduct 59 from 111 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 7:
If we divide 520 by 59, we get 8 and a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 8661.8
If we subtract 472 from 520, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 8:
480 divided by 59 is 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 8661.88
The remainder is 8 after subtracting 472 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 8661.88 with a remaining 0.008.