We look at the division of 95624368 by 635 
We want to figure out the number of times 95624368 can be divided by 635.

Advancing to step 1:
When dividing 9 by 635, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 635

Going ahead to step 2:
95 divided by 635 is 0 with a remainder of 95.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 95, we end up with 95.
Append the next digit (6) from the dividend to 95 and continue with: 956 / 635

Step 3:
When dividing 956 by 635, we get 1 with a remainder of 321.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 635 from 956 to get 321.
Take the next digit (2) from the dividend and append it to 321, then repeat: 3212 / 635

Step 4:
The number 635 fits into 3212 5 times, leaving a remainder of 37.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Deduct 3175 from 3212 and we're left with 37.
Include the next digit (4) from the dividend after 37, then repeat: 374 / 635

Going ahead to step 5:
The number 635 fits into 374 0 times, leaving a remainder of 374.
Put 0 as the next digit of the answer. 
Result so far: 150.0
If we subtract 0 from 374, we get 374.
Grab the next digit (3) from the dividend, add it to 374, then carry on: 3743 / 635

Let's proceed to step 6:
635 can be fit into 3743 5 times, resulting in a remainder of 568.
Use 5 as the next digit of our solution. 
Result so far: 1505.0
The remainder is 568 after subtracting 3175 from 3743.
Bring next digit (6) of the dividend behind the 568 and repeat the process: 5686 / 635

Advancing to step 7:
635 can be fit into 5686 8 times, resulting in a remainder of 606.
Use 8 as the next digit of our solution. 
Result so far: 15058.0
The remainder is 606 after subtracting 5080 from 5686.
Include the next digit (8) from the dividend after 606, then repeat: 6068 / 635

Advancing to step 8:
635 goes into 6068 9 times with a remainder of 353.
Put 9 as the next digit of the answer. 
Result so far: 150589.0
If we take 5715 away from 6068, we end up with 353.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3530, and continue the process.

Let's proceed to step 9:
635 goes into 3530 5 times with a remainder of 355.
Use 5 as the next digit of our solution. 
Result so far: 150589.5
If we take 3175 away from 3530, we end up with 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

Step 10:
635 can be fit into 3550 5 times, resulting in a remainder of 375.
Record the quotient 5 as the next digit in the result. 
Result so far: 150589.55
If we subtract 3175 from 3550, we get 375.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3750, and continue the process.

The final result is 150589.55 with a remainder of 0.375.