952992 ÷ 338 
We're looking to find how many times 338 goes into 952992.

Going ahead to step 1:
If we divide 9 by 338, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 338

Advancing to step 2:
95 divided by 338 is 0 with a remainder of 95.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 95 and we're left with 95.
Include the next digit (2) from the dividend after 95, then repeat: 952 / 338

Moving on to step 3:
338 can be fit into 952 2 times, resulting in a remainder of 276.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 676 from 952, we get 276.
Take the next digit (9) from the dividend and append it to 276, then repeat: 2769 / 338

Going ahead to step 4:
2769 divided by 338 is 8 with a remainder of 65.
Use 8 as the next digit of our solution. 
Result so far: 28.0
Deduct 2704 from 2769 and we're left with 65.
Take the next digit (9) from the dividend and append it to 65, then repeat: 659 / 338

Going ahead to step 5:
338 can be fit into 659 1 times, resulting in a remainder of 321.
The number 1 becomes the next digit in our result. 
Result so far: 281.0
Subtract 338 from 659 to get 321.
Fetch the next digit (2) from the dividend, attach it to 321 and continue: 3212 / 338

Advancing to step 6:
If we divide 3212 by 338, we get 9 and a remainder of 170.
The number 9 becomes the next digit in our result. 
Result so far: 2819.0
If we subtract 3042 from 3212, we get 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Moving on to step 7:
The number 338 fits into 1700 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 2819.5
Subtracting 1690 from 1700 leaves us 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.

Moving on to step 8:
When dividing 100 by 338, we get 0 with a remainder of 100.
Record the quotient 0 as the next digit in the result. 
Result so far: 2819.5
If we take 0 away from 100, we end up with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Step 9:
The number 338 fits into 1000 2 times, leaving a remainder of 324.
The number 2 becomes the next digit in our result. 
Result so far: 2819.502
Subtracting 676 from 1000 leaves us with 324.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3240, and continue the process.

Going ahead to step 10:
338 can be fit into 3240 9 times, resulting in a remainder of 198.
The number 9 becomes the next digit in our result. 
Result so far: 2819.5029
Subtract 3042 from 3240 to get 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

Let's proceed to step 11:
1980 divided by 338 is 5 with a remainder of 290.
The number 5 becomes the next digit in our result. 
Result so far: 2819.50295
If we subtract 1690 from 1980, we get 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Let's proceed to step 12:
When dividing 2900 by 338, we get 8 with a remainder of 196.
Put 8 as the next digit of the answer. 
Result so far: 2819.502958
If we subtract 2704 from 2900, we get 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Let's proceed to step 13:
338 can be fit into 1960 5 times, resulting in a remainder of 270.
Record the quotient 5 as the next digit in the result. 
Result so far: 2819.5029585
Deduct 1690 from 1960 and we're left with 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Going ahead to step 14:
338 can be fit into 2700 7 times, resulting in a remainder of 334.
Record the quotient 7 as the next digit in the result. 
Result so far: 2819.50295857
The remainder is 334 after subtracting 2366 from 2700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

The final result is 2819.50295857 with a remainder of 3.34e-07.