41957002 ÷ 434 
Let's see how many times 434 fits into 41957002.

Advancing to step 1:
434 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 434

Let's proceed to step 2:
When dividing 41 by 434, we get 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Append the next digit (9) from the dividend to 41 and continue with: 419 / 434

Let's proceed to step 3:
If we divide 419 by 434, we get 0 and a remainder of 419.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 419, we get 419.
Take the next digit (5) from the dividend and append it to 419, then repeat: 4195 / 434

Advancing to step 4:
The number 434 fits into 4195 9 times, leaving a remainder of 289.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtract 3906 from 4195 to get 289.
Fetch the next digit (7) from the dividend, attach it to 289 and continue: 2897 / 434

On to step 5:
When dividing 2897 by 434, we get 6 with a remainder of 293.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
The remainder is 293 after subtracting 2604 from 2897.
Take the next digit (0) from the dividend and append it to 293, then repeat: 2930 / 434

Let's proceed to step 6:
When dividing 2930 by 434, we get 6 with a remainder of 326.
Write down 6 as next digit of the result. 
Result so far: 966.0
Deduct 2604 from 2930 and we're left with 326.
Append the next digit (0) from the dividend to 326 and continue with: 3260 / 434

Moving on to step 7:
If we divide 3260 by 434, we get 7 and a remainder of 222.
The next digit of our result is 7. 
Result so far: 9667.0
Subtracting 3038 from 3260 leaves us with 222.
Include the next digit (2) from the dividend after 222, then repeat: 2222 / 434

On to step 8:
The number 434 fits into 2222 5 times, leaving a remainder of 52.
Record the quotient 5 as the next digit in the result. 
Result so far: 96675.0
Subtracting 2170 from 2222 leaves us 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 9:
The number 434 fits into 520 1 times, leaving a remainder of 86.
Put 1 as the next digit of the answer. 
Result so far: 96675.1
Subtracting 434 from 520 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 10:
If we divide 860 by 434, we get 1 and a remainder of 426.
The number 1 becomes the next digit in our result. 
Result so far: 96675.11
If we subtract 434 from 860, we get 426.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4260, and continue the process.

The quotient of the division is 96675.11, and the remainder is 0.426.