We're dividing 95118241 by 435 
We're looking to find how many times 435 goes into 95118241.

Going ahead to step 1:
435 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 435

Going ahead to step 2:
If we divide 95 by 435, we get 0 and a remainder of 95.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 95, we get 95.
Append the next digit (1) from the dividend to 95 and continue with: 951 / 435

Advancing to step 3:
When dividing 951 by 435, we get 2 with a remainder of 81.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 870 from 951 to get 81.
Include the next digit (1) from the dividend after 81, then repeat: 811 / 435

Moving on to step 4:
The number 435 fits into 811 1 times, leaving a remainder of 376.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
Subtract 435 from 811 to get 376.
Append the next digit (8) from the dividend to 376 and continue with: 3768 / 435

Let's proceed to step 5:
If we divide 3768 by 435, we get 8 and a remainder of 288.
Use 8 as the next digit of our solution. 
Result so far: 218.0
If we take 3480 away from 3768, we end up with 288.
Take the next digit (2) from the dividend and append it to 288, then repeat: 2882 / 435

Advancing to step 6:
435 goes into 2882 6 times with a remainder of 272.
Write down 6 as next digit of the result. 
Result so far: 2186.0
Subtract 2610 from 2882 to get 272.
Take the next digit (4) from the dividend and append it to 272, then repeat: 2724 / 435

Step 7:
If we divide 2724 by 435, we get 6 and a remainder of 114.
The next digit of our result is 6. 
Result so far: 21866.0
Deduct 2610 from 2724 and we're left with 114.
Append the next digit (1) from the dividend to 114 and continue with: 1141 / 435

Advancing to step 8:
If we divide 1141 by 435, we get 2 and a remainder of 271.
Record the quotient 2 as the next digit in the result. 
Result so far: 218662.0
Subtract 870 from 1141 to get 271.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

On to step 9:
2710 divided by 435 is 6 with a remainder of 100.
Use 6 as the next digit of our solution. 
Result so far: 218662.6
The remainder is 100 after subtracting 2610 from 2710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Advancing to step 10:
435 can be fit into 1000 2 times, resulting in a remainder of 130.
The number 2 becomes the next digit in our result. 
Result so far: 218662.62
If we subtract 870 from 1000, we get 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Step 11:
1300 divided by 435 is 2 with a remainder of 430.
The next digit of our result is 2. 
Result so far: 218662.622
If we take 870 away from 1300, we end up with 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

The quotient of the division is 218662.622, and the remainder is 0.043.