435597 ÷ 74 
We're looking to find how many times 74 goes into 435597.

Advancing to step 1:
4 divided by 74 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 74

Let's proceed to step 2:
74 goes into 43 0 times with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Append the next digit (5) from the dividend to 43 and continue with: 435 / 74

Moving on to step 3:
74 can be fit into 435 5 times, resulting in a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 370 from 435 to get 65.
Include the next digit (5) from the dividend after 65, then repeat: 655 / 74

Going ahead to step 4:
74 goes into 655 8 times with a remainder of 63.
The next digit of our result is 8. 
Result so far: 58.0
Subtracting 592 from 655 leaves us with 63.
Bring next digit (9) of the dividend behind the 63 and repeat the process: 639 / 74

Step 5:
74 can be fit into 639 8 times, resulting in a remainder of 47.
The number 8 becomes the next digit in our result. 
Result so far: 588.0
Subtract 592 from 639 to get 47.
Append the next digit (7) from the dividend to 47 and continue with: 477 / 74

Step 6:
477 divided by 74 is 6 with a remainder of 33.
Use 6 as the next digit of our solution. 
Result so far: 5886.0
Subtract 444 from 477 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
330 divided by 74 is 4 with a remainder of 34.
Record the quotient 4 as the next digit in the result. 
Result so far: 5886.4
If we subtract 296 from 330, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 8:
340 divided by 74 is 4 with a remainder of 44.
The number 4 becomes the next digit in our result. 
Result so far: 5886.44
If we take 296 away from 340, we end up 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.

Our division results in 5886.44 with a remaining 0.044.