We divide 430694 by 75
We're looking to find how many times 75 goes into 430694.

Advancing to step 1:
75 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 75

Let's proceed to step 2:
75 goes into 43 0 times with a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Take the next digit (0) from the dividend and append it to 43, then repeat: 430 / 75

Advancing to step 3:
The number 75 fits into 430 5 times, leaving a remainder of 55.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 55 after subtracting 375 from 430.
Fetch the next digit (6) from the dividend, attach it to 55 and continue: 556 / 75

Advancing to step 4:
The number 75 fits into 556 7 times, leaving a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 57.0
If we take 525 away from 556, we end up with 31.
Grab the next digit (9) from the dividend, add it to 31, then carry on: 319 / 75

Let's proceed to step 5:
When dividing 319 by 75, we get 4 with a remainder of 19.
Record the quotient 4 as the next digit in the result. 
Result so far: 574.0
Deduct 300 from 319 and we're left with 19.
Grab the next digit (4) from the dividend, add it to 19, then carry on: 194 / 75

On to step 6:
When dividing 194 by 75, we get 2 with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 5742.0
Deduct 150 from 194 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
When dividing 440 by 75, we get 5 with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 5742.5
Deduct 375 from 440 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 8:
650 divided by 75 is 8 with a remainder of 50.
The number 8 becomes the next digit in our result. 
Result so far: 5742.58
If we subtract 600 from 650, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 5742.586
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 10:
If we divide 500 by 75, we get 6 and a remainder of 50.
The next digit of our result is 6. 
Result so far: 5742.5866
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 5742.5866, and the remainder is 0.0005.