Let's divide 338441 by 697
We're looking to find how many times 697 goes into 338441.

Step 1:
3 divided by 697 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 697

On to step 2:
697 can be fit into 33 0 times, resulting in a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Include the next digit (8) from the dividend after 33, then repeat: 338 / 697

Moving on to step 3:
The number 697 fits into 338 0 times, leaving a remainder of 338.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 338 to get 338.
Take the next digit (4) from the dividend and append it to 338, then repeat: 3384 / 697

Moving on to step 4:
697 can be fit into 3384 4 times, resulting in a remainder of 596.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 2788 from 3384 to get 596.
Fetch the next digit (4) from the dividend, attach it to 596 and continue: 5964 / 697

Going ahead to step 5:
697 can be fit into 5964 8 times, resulting in a remainder of 388.
The number 8 becomes the next digit in our result. 
Result so far: 48.0
The remainder is 388 after subtracting 5576 from 5964.
Fetch the next digit (1) from the dividend, attach it to 388 and continue: 3881 / 697

On to step 6:
697 goes into 3881 5 times with a remainder of 396.
The next digit of our result is 5. 
Result so far: 485.0
Subtracting 3485 from 3881 leaves us with 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Step 7:
The number 697 fits into 3960 5 times, leaving a remainder of 475.
The number 5 becomes the next digit in our result. 
Result so far: 485.5
If we take 3485 away from 3960, we end up with 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

On to step 8:
If we divide 4750 by 697, we get 6 and a remainder of 568.
The next digit of our result is 6. 
Result so far: 485.56
If we take 4182 away from 4750, we end up with 568.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5680, and continue the process.

On to step 9:
If we divide 5680 by 697, we get 8 and a remainder of 104.
Write down 8 as next digit of the result. 
Result so far: 485.568
If we take 5576 away from 5680, we end up with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Step 10:
1040 divided by 697 is 1 with a remainder of 343.
Write down 1 as next digit of the result. 
Result so far: 485.5681
Deduct 697 from 1040 and we're left with 343.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3430, and continue the process.

Step 11:
The number 697 fits into 3430 4 times, leaving a remainder of 642.
Write down 4 as next digit of the result. 
Result so far: 485.56814
If we subtract 2788 from 3430, we get 642.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6420, and continue the process.

Advancing to step 12:
6420 divided by 697 is 9 with a remainder of 147.
Write down 9 as next digit of the result. 
Result so far: 485.568149
Deduct 6273 from 6420 and we're left with 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

Advancing to step 13:
When dividing 1470 by 697, we get 2 with a remainder of 76.
Use 2 as the next digit of our solution. 
Result so far: 485.5681492
Subtracting 1394 from 1470 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 14:
697 can be fit into 760 1 times, resulting in a remainder of 63.
Put 1 as the next digit of the answer. 
Result so far: 485.56814921
Deduct 697 from 760 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

After the division, we end up with 485.56814921 and a remainder of 6.3e-08.