We're dividing 7828096 by 838 
We want to figure out the number of times 7828096 can be divided by 838.

Moving on to step 1:
7 divided by 838 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 838

Moving on to step 2:
838 goes into 78 0 times with a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 78 and we're left with 78.
Grab the next digit (2) from the dividend, add it to 78, then carry on: 782 / 838

Let's proceed to step 3:
838 can be fit into 782 0 times, resulting in a remainder of 782.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 782 leaves us with 782.
Append the next digit (8) from the dividend to 782 and continue with: 7828 / 838

Advancing to step 4:
When dividing 7828 by 838, we get 9 with a remainder of 286.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 7542 from 7828 leaves us with 286.
Append the next digit (0) from the dividend to 286 and continue with: 2860 / 838

Moving on to step 5:
838 can be fit into 2860 3 times, resulting in a remainder of 346.
The next digit of our result is 3. 
Result so far: 93.0
If we take 2514 away from 2860, we end up with 346.
Append the next digit (9) from the dividend to 346 and continue with: 3469 / 838

Moving on to step 6:
838 goes into 3469 4 times with a remainder of 117.
The next digit of our result is 4. 
Result so far: 934.0
Subtracting 3352 from 3469 leaves us with 117.
Take the next digit (6) from the dividend and append it to 117, then repeat: 1176 / 838

Moving on to step 7:
838 can be fit into 1176 1 times, resulting in a remainder of 338.
The next digit of our result is 1. 
Result so far: 9341.0
If we take 838 away from 1176, we end up with 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Let's proceed to step 8:
If we divide 3380 by 838, we get 4 and a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 9341.4
The remainder is 28 after subtracting 3352 from 3380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
838 can be fit into 280 0 times, resulting in a remainder of 280.
The number 0 becomes the next digit in our result. 
Result so far: 9341.4
The remainder is 280 after subtracting 0 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Let's proceed to step 10:
The number 838 fits into 2800 3 times, leaving a remainder of 286.
Use 3 as the next digit of our solution. 
Result so far: 9341.403
Subtract 2514 from 2800 to get 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

On to step 11:
838 can be fit into 2860 3 times, resulting in a remainder of 346.
The number 3 becomes the next digit in our result. 
Result so far: 9341.4033
Subtract 2514 from 2860 to get 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

The final outcome is 9341.4033, with a leftover of 0.00346.