We look at the division of 65999001 by 558 
Let's see how many times 558 fits into 65999001.

Moving on to step 1:
558 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 558

On to step 2:
The number 558 fits into 65 0 times, leaving a remainder of 65.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 65 to get 65.
Append the next digit (9) from the dividend to 65 and continue with: 659 / 558

Moving on to step 3:
The number 558 fits into 659 1 times, leaving a remainder of 101.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 558 from 659 leaves us with 101.
Grab the next digit (9) from the dividend, add it to 101, then carry on: 1019 / 558

Step 4:
When dividing 1019 by 558, we get 1 with a remainder of 461.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtract 558 from 1019 to get 461.
Take the next digit (9) from the dividend and append it to 461, then repeat: 4619 / 558

Let's proceed to step 5:
558 can be fit into 4619 8 times, resulting in a remainder of 155.
The number 8 becomes the next digit in our result. 
Result so far: 118.0
The remainder is 155 after subtracting 4464 from 4619.
Fetch the next digit (0) from the dividend, attach it to 155 and continue: 1550 / 558

Going ahead to step 6:
When dividing 1550 by 558, we get 2 with a remainder of 434.
Use 2 as the next digit of our solution. 
Result so far: 1182.0
Subtract 1116 from 1550 to get 434.
Bring next digit (0) of the dividend behind the 434 and repeat the process: 4340 / 558

Step 7:
When dividing 4340 by 558, we get 7 with a remainder of 434.
Record the quotient 7 as the next digit in the result. 
Result so far: 11827.0
Deduct 3906 from 4340 and we're left with 434.
Include the next digit (1) from the dividend after 434, then repeat: 4341 / 558

Moving on to step 8:
The number 558 fits into 4341 7 times, leaving a remainder of 435.
Put 7 as the next digit of the answer. 
Result so far: 118277.0
The remainder is 435 after subtracting 3906 from 4341.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4350, and continue the process.

On to step 9:
When dividing 4350 by 558, we get 7 with a remainder of 444.
The next digit of our result is 7. 
Result so far: 118277.7
The remainder is 444 after subtracting 3906 from 4350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Let's proceed to step 10:
558 can be fit into 4440 7 times, resulting in a remainder of 534.
Put 7 as the next digit of the answer. 
Result so far: 118277.77
Subtracting 3906 from 4440 leaves us with 534.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5340, and continue the process.

The quotient of the division is 118277.77, and the remainder is 0.534.