We're dividing 435905 by 59 
Let's see how many times 59 fits into 435905.

Moving on to step 1:
When dividing 4 by 59, we get 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.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 59

On to step 2:
The number 59 fits into 43 0 times, leaving a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Take the next digit (5) from the dividend and append it to 43, then repeat: 435 / 59

On to step 3:
59 can be fit into 435 7 times, resulting in a remainder of 22.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 413 from 435 leaves us with 22.
Take the next digit (9) from the dividend and append it to 22, then repeat: 229 / 59

Going ahead to step 4:
The number 59 fits into 229 3 times, leaving a remainder of 52.
Use 3 as the next digit of our solution. 
Result so far: 73.0
If we take 177 away from 229, we end up with 52.
Fetch the next digit (0) from the dividend, attach it to 52 and continue: 520 / 59

Going ahead to step 5:
520 divided by 59 is 8 with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 738.0
Subtract 472 from 520 to get 48.
Grab the next digit (5) from the dividend, add it to 48, then carry on: 485 / 59

On to step 6:
485 divided by 59 is 8 with a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 7388.0
If we subtract 472 from 485, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
59 goes into 130 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 7388.2
Subtracting 118 from 130 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
59 goes into 120 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 7388.22
Subtract 118 from 120 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 7388.22 with a remainder of 0.002.