7177019 ÷ 338 
Our goal is to divide 7177019 by 338.

Step 1:
If we divide 7 by 338, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 338

Step 2:
338 can be fit into 71 0 times, resulting in a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 71 after subtracting 0 from 71.
Bring next digit (7) of the dividend behind the 71 and repeat the process: 717 / 338

Moving on to step 3:
338 can be fit into 717 2 times, resulting in a remainder of 41.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 676 from 717 and we're left with 41.
Grab the next digit (7) from the dividend, add it to 41, then carry on: 417 / 338

Going ahead to step 4:
338 goes into 417 1 times with a remainder of 79.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Deduct 338 from 417 and we're left with 79.
Fetch the next digit (0) from the dividend, attach it to 79 and continue: 790 / 338

Going ahead to step 5:
790 divided by 338 is 2 with a remainder of 114.
Use 2 as the next digit of our solution. 
Result so far: 212.0
If we take 676 away from 790, we end up with 114.
Append the next digit (1) from the dividend to 114 and continue with: 1141 / 338

Let's proceed to step 6:
The number 338 fits into 1141 3 times, leaving a remainder of 127.
The next digit of our result is 3. 
Result so far: 2123.0
The remainder is 127 after subtracting 1014 from 1141.
Append the next digit (9) from the dividend to 127 and continue with: 1279 / 338

Advancing to step 7:
The number 338 fits into 1279 3 times, leaving a remainder of 265.
Record the quotient 3 as the next digit in the result. 
Result so far: 21233.0
Subtract 1014 from 1279 to get 265.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

On to step 8:
338 goes into 2650 7 times with a remainder of 284.
Record the quotient 7 as the next digit in the result. 
Result so far: 21233.7
Subtracting 2366 from 2650 leaves us with 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

Advancing to step 9:
When dividing 2840 by 338, we get 8 with a remainder of 136.
The number 8 becomes the next digit in our result. 
Result so far: 21233.78
If we take 2704 away from 2840, we end up with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Moving on to step 10:
338 goes into 1360 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 21233.784
If we take 1352 away from 1360, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 11:
338 can be fit into 80 0 times, resulting in a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 21233.784
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 12:
800 divided by 338 is 2 with a remainder of 124.
The next digit of our result is 2. 
Result so far: 21233.78402
Deduct 676 from 800 and we're left with 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

On to step 13:
The number 338 fits into 1240 3 times, leaving a remainder of 226.
Record the quotient 3 as the next digit in the result. 
Result so far: 21233.784023
Deduct 1014 from 1240 and we're left with 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

On to step 14:
338 can be fit into 2260 6 times, resulting in a remainder of 232.
Record the quotient 6 as the next digit in the result. 
Result so far: 21233.7840236
Deduct 2028 from 2260 and we're left with 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Moving on to step 15:
If we divide 2320 by 338, we get 6 and a remainder of 292.
The next digit of our result is 6. 
Result so far: 21233.78402366
Subtract 2028 from 2320 to get 292.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2920, and continue the process.

After the division, we end up with 21233.78402366 and a remainder of 2.92e-07.