We're dividing 763577 by 434 
We want to figure out the number of times 763577 can be divided by 434.

On to step 1:
If we divide 7 by 434, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 434

Step 2:
76 divided by 434 is 0 with a remainder of 76.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 76 and we're left with 76.
Fetch the next digit (3) from the dividend, attach it to 76 and continue: 763 / 434

Let's proceed to step 3:
763 divided by 434 is 1 with a remainder of 329.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 434 from 763 leaves us with 329.
Append the next digit (5) from the dividend to 329 and continue with: 3295 / 434

Let's proceed to step 4:
The number 434 fits into 3295 7 times, leaving a remainder of 257.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 3038 from 3295 and we're left with 257.
Fetch the next digit (7) from the dividend, attach it to 257 and continue: 2577 / 434

Moving on to step 5:
The number 434 fits into 2577 5 times, leaving a remainder of 407.
Write down 5 as next digit of the result. 
Result so far: 175.0
Subtract 2170 from 2577 to get 407.
Fetch the next digit (7) from the dividend, attach it to 407 and continue: 4077 / 434

Step 6:
434 can be fit into 4077 9 times, resulting in a remainder of 171.
Write down 9 as next digit of the result. 
Result so far: 1759.0
If we subtract 3906 from 4077, we get 171.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1710, and continue the process.

Going ahead to step 7:
1710 divided by 434 is 3 with a remainder of 408.
Use 3 as the next digit of our solution. 
Result so far: 1759.3
Subtracting 1302 from 1710 leaves us with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Going ahead to step 8:
The number 434 fits into 4080 9 times, leaving a remainder of 174.
The next digit of our result is 9. 
Result so far: 1759.39
Subtract 3906 from 4080 to get 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

On to step 9:
434 can be fit into 1740 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 1759.394
Subtract 1736 from 1740 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
434 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 1759.394
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
When dividing 400 by 434, we get 0 with a remainder of 400.
The number 0 becomes the next digit in our result. 
Result so far: 1759.394
Subtract 0 from 400 to get 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

The final result is 1759.394 with a remainder of 0.0004.