We're dividing 350776 by 75 
We want to figure out the number of times 350776 can be divided by 75.

On to step 1:
The number 75 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 75

Going ahead to step 2:
If we divide 35 by 75, we get 0 and a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Grab the next digit (0) from the dividend, add it to 35, then carry on: 350 / 75

Advancing to step 3:
When dividing 350 by 75, we get 4 with a remainder of 50.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 300 from 350 and we're left with 50.
Append the next digit (7) from the dividend to 50 and continue with: 507 / 75

On to step 4:
75 goes into 507 6 times with a remainder of 57.
Write down 6 as next digit of the result. 
Result so far: 46.0
The remainder is 57 after subtracting 450 from 507.
Bring next digit (7) of the dividend behind the 57 and repeat the process: 577 / 75

Advancing to step 5:
75 can be fit into 577 7 times, resulting in a remainder of 52.
Use 7 as the next digit of our solution. 
Result so far: 467.0
If we subtract 525 from 577, we get 52.
Include the next digit (6) from the dividend after 52, then repeat: 526 / 75

Let's proceed to step 6:
75 can be fit into 526 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 4677.0
Deduct 525 from 526 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
75 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 4677.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
75 goes into 100 1 times with a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 4677.01
Subtract 75 from 100 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 4677.013
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
If we divide 250 by 75, we get 3 and a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 4677.0133
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 4677.0133 with a remainder of 0.00025.