We're dividing 66119 by 59 
Our goal is to divide 66119 by 59.

Advancing to step 1:
6 divided by 59 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 59

On to step 2:
The number 59 fits into 66 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 7 after subtracting 59 from 66.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 59

Advancing to step 3:
If we divide 71 by 59, we get 1 and a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 59 away from 71, we end up with 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 59

Going ahead to step 4:
The number 59 fits into 121 2 times, leaving a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 112.0
The remainder is 3 after subtracting 118 from 121.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 59

Advancing to step 5:
When dividing 39 by 59, we get 0 with a remainder of 39.
The number 0 becomes the next digit in our result. 
Result so far: 1120.0
Deduct 0 from 39 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 6:
59 goes into 390 6 times with a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 1120.6
Subtracting 354 from 390 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 7:
59 can be fit into 360 6 times, resulting in a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 1120.66
If we subtract 354 from 360, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 1120.66 and a remainder of 0.006.