338786 ÷ 75 
We're looking to find how many times 75 goes into 338786.

Let's proceed to step 1:
75 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 75

Step 2:
When dividing 33 by 75, we get 0 with a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 33, we end up with 33.
Fetch the next digit (8) from the dividend, attach it to 33 and continue: 338 / 75

Advancing to step 3:
When dividing 338 by 75, we get 4 with a remainder of 38.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 300 from 338 to get 38.
Fetch the next digit (7) from the dividend, attach it to 38 and continue: 387 / 75

On to step 4:
If we divide 387 by 75, we get 5 and a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 45.0
If we subtract 375 from 387, we get 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 75

On to step 5:
75 can be fit into 128 1 times, resulting in a remainder of 53.
Put 1 as the next digit of the answer. 
Result so far: 451.0
The remainder is 53 after subtracting 75 from 128.
Bring next digit (6) of the dividend behind the 53 and repeat the process: 536 / 75

Advancing to step 6:
The number 75 fits into 536 7 times, leaving a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 4517.0
The remainder is 11 after subtracting 525 from 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
75 can be fit into 110 1 times, resulting in a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 4517.1
Subtracting 75 from 110 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
The number 75 fits into 350 4 times, leaving a remainder of 50.
Use 4 as the next digit of our solution. 
Result so far: 4517.14
Deduct 300 from 350 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.

Step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The next digit of our result is 6. 
Result so far: 4517.146
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 4517.1466
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.

Our division results in 4517.1466 with a remaining 0.0005.