We're dividing 75235861 by 435 
We want to figure out the number of times 75235861 can be divided by 435.

Advancing to step 1:
7 divided by 435 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 435

Moving on to step 2:
When dividing 75 by 435, we get 0 with a remainder of 75.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 75 after subtracting 0 from 75.
Take the next digit (2) from the dividend and append it to 75, then repeat: 752 / 435

Advancing to step 3:
The number 435 fits into 752 1 times, leaving a remainder of 317.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 435 from 752 and we're left with 317.
Append the next digit (3) from the dividend to 317 and continue with: 3173 / 435

Advancing to step 4:
When dividing 3173 by 435, we get 7 with a remainder of 128.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 3045 from 3173 and we're left with 128.
Grab the next digit (5) from the dividend, add it to 128, then carry on: 1285 / 435

Moving on to step 5:
1285 divided by 435 is 2 with a remainder of 415.
Write down 2 as next digit of the result. 
Result so far: 172.0
Subtract 870 from 1285 to get 415.
Include the next digit (8) from the dividend after 415, then repeat: 4158 / 435

Going ahead to step 6:
When dividing 4158 by 435, we get 9 with a remainder of 243.
The number 9 becomes the next digit in our result. 
Result so far: 1729.0
Subtracting 3915 from 4158 leaves us with 243.
Take the next digit (6) from the dividend and append it to 243, then repeat: 2436 / 435

Step 7:
If we divide 2436 by 435, we get 5 and a remainder of 261.
Record the quotient 5 as the next digit in the result. 
Result so far: 17295.0
If we take 2175 away from 2436, we end up with 261.
Append the next digit (1) from the dividend to 261 and continue with: 2611 / 435

Going ahead to step 8:
The number 435 fits into 2611 6 times, leaving a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 172956.0
Deduct 2610 from 2611 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
435 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 172956.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
435 goes into 100 0 times with a remainder of 100.
The number 0 becomes the next digit in our result. 
Result so far: 172956.0
The remainder is 100 after subtracting 0 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

The quotient of the division is 172956.0, and the remainder is 0.1.