We're dividing 41933493 by 554 
We want to divide 41933493 by 554.

Advancing to step 1:
The number 554 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 554

Advancing to step 2:
If we divide 41 by 554, we get 0 and a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Append the next digit (9) from the dividend to 41 and continue with: 419 / 554

Moving on to step 3:
554 goes into 419 0 times with a remainder of 419.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 419 after subtracting 0 from 419.
Fetch the next digit (3) from the dividend, attach it to 419 and continue: 4193 / 554

Advancing to step 4:
The number 554 fits into 4193 7 times, leaving a remainder of 315.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 3878 from 4193 to get 315.
Fetch the next digit (3) from the dividend, attach it to 315 and continue: 3153 / 554

Moving on to step 5:
554 goes into 3153 5 times with a remainder of 383.
Put 5 as the next digit of the answer. 
Result so far: 75.0
Subtract 2770 from 3153 to get 383.
Take the next digit (4) from the dividend and append it to 383, then repeat: 3834 / 554

Let's proceed to step 6:
3834 divided by 554 is 6 with a remainder of 510.
Put 6 as the next digit of the answer. 
Result so far: 756.0
Subtract 3324 from 3834 to get 510.
Include the next digit (9) from the dividend after 510, then repeat: 5109 / 554

Step 7:
The number 554 fits into 5109 9 times, leaving a remainder of 123.
Put 9 as the next digit of the answer. 
Result so far: 7569.0
The remainder is 123 after subtracting 4986 from 5109.
Include the next digit (3) from the dividend after 123, then repeat: 1233 / 554

Advancing to step 8:
554 goes into 1233 2 times with a remainder of 125.
The number 2 becomes the next digit in our result. 
Result so far: 75692.0
The remainder is 125 after subtracting 1108 from 1233.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Going ahead to step 9:
If we divide 1250 by 554, we get 2 and a remainder of 142.
Record the quotient 2 as the next digit in the result. 
Result so far: 75692.2
If we subtract 1108 from 1250, we get 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Moving on to step 10:
554 goes into 1420 2 times with a remainder of 312.
The number 2 becomes the next digit in our result. 
Result so far: 75692.22
Deduct 1108 from 1420 and we're left with 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3120, and continue the process.

The quotient of the division is 75692.22, and the remainder is 0.312.