We're dividing 11958266 by 558 
We want to divide 11958266 by 558.

Step 1:
When dividing 1 by 558, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 558

On to step 2:
11 divided by 558 is 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 558

Step 3:
When dividing 119 by 558, we get 0 with a remainder of 119.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 119 and we're left with 119.
Grab the next digit (5) from the dividend, add it to 119, then carry on: 1195 / 558

Step 4:
If we divide 1195 by 558, we get 2 and a remainder of 79.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 1116 from 1195 to get 79.
Bring next digit (8) of the dividend behind the 79 and repeat the process: 798 / 558

Let's proceed to step 5:
If we divide 798 by 558, we get 1 and a remainder of 240.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
If we subtract 558 from 798, we get 240.
Grab the next digit (2) from the dividend, add it to 240, then carry on: 2402 / 558

Moving on to step 6:
The number 558 fits into 2402 4 times, leaving a remainder of 170.
Use 4 as the next digit of our solution. 
Result so far: 214.0
Deduct 2232 from 2402 and we're left with 170.
Grab the next digit (6) from the dividend, add it to 170, then carry on: 1706 / 558

Step 7:
If we divide 1706 by 558, we get 3 and a remainder of 32.
The next digit of our result is 3. 
Result so far: 2143.0
Subtracting 1674 from 1706 leaves us with 32.
Take the next digit (6) from the dividend and append it to 32, then repeat: 326 / 558

On to step 8:
326 divided by 558 is 0 with a remainder of 326.
Record the quotient 0 as the next digit in the result. 
Result so far: 21430.0
If we subtract 0 from 326, we get 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Moving on to step 9:
If we divide 3260 by 558, we get 5 and a remainder of 470.
Put 5 as the next digit of the answer. 
Result so far: 21430.5
The remainder is 470 after subtracting 2790 from 3260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

Advancing to step 10:
If we divide 4700 by 558, we get 8 and a remainder of 236.
The number 8 becomes the next digit in our result. 
Result so far: 21430.58
If we subtract 4464 from 4700, we get 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

Step 11:
The number 558 fits into 2360 4 times, leaving a remainder of 128.
Put 4 as the next digit of the answer. 
Result so far: 21430.584
Deduct 2232 from 2360 and we're left with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

On to step 12:
1280 divided by 558 is 2 with a remainder of 164.
Record the quotient 2 as the next digit in the result. 
Result so far: 21430.5842
If we take 1116 away from 1280, we end up with 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Advancing to step 13:
558 can be fit into 1640 2 times, resulting in a remainder of 524.
Use 2 as the next digit of our solution. 
Result so far: 21430.58422
If we take 1116 away from 1640, we end up with 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

The quotient of the division is 21430.58422, and the remainder is 0.000524.