We look at the division of 434969 by 75 
We want to figure out the number of times 434969 can be divided by 75.

Going ahead to step 1:
The number 75 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 75

Moving on to step 2:
If we divide 43 by 75, we get 0 and a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Append the next digit (4) from the dividend to 43 and continue with: 434 / 75

Step 3:
The number 75 fits into 434 5 times, leaving a remainder of 59.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 375 away from 434, we end up with 59.
Include the next digit (9) from the dividend after 59, then repeat: 599 / 75

Advancing to step 4:
The number 75 fits into 599 7 times, leaving a remainder of 74.
Use 7 as the next digit of our solution. 
Result so far: 57.0
Subtract 525 from 599 to get 74.
Append the next digit (6) from the dividend to 74 and continue with: 746 / 75

Going ahead to step 5:
75 can be fit into 746 9 times, resulting in a remainder of 71.
Put 9 as the next digit of the answer. 
Result so far: 579.0
Subtracting 675 from 746 leaves us with 71.
Take the next digit (9) from the dividend and append it to 71, then repeat: 719 / 75

On to step 6:
The number 75 fits into 719 9 times, leaving a remainder of 44.
Write down 9 as next digit of the result. 
Result so far: 5799.0
The remainder is 44 after subtracting 675 from 719.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 7:
The number 75 fits into 440 5 times, leaving a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 5799.5
Subtracting 375 from 440 leaves us 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.

Step 8:
75 goes into 650 8 times with a remainder of 50.
Record the quotient 8 as the next digit in the result. 
Result so far: 5799.58
The remainder is 50 after subtracting 600 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
When dividing 500 by 75, we get 6 with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 5799.586
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 5799.5866
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.

The final outcome is 5799.5866, with a leftover of 0.0005.