We look at the division of 784126 by 21 
We want to divide 784126 by 21.

Let's proceed to step 1:
7 divided by 21 is 0 with a remainder of 7.
The next digit of our result is 0. 
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 / 21

Advancing to step 2:
21 goes into 78 3 times with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 63 from 78, we get 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 21

Moving on to step 3:
21 can be fit into 154 7 times, resulting in a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 37.0
Subtracting 147 from 154 leaves us with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 21

Moving on to step 4:
21 goes into 71 3 times with a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 373.0
Subtracting 63 from 71 leaves us with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 21

On to step 5:
21 goes into 82 3 times with a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 3733.0
If we take 63 away from 82, we end up with 19.
Bring next digit (6) of the dividend behind the 19 and repeat the process: 196 / 21

Going ahead to step 6:
When dividing 196 by 21, we get 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 37339.0
Deduct 189 from 196 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
70 divided by 21 is 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 37339.3
The remainder is 7 after subtracting 63 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 8:
21 can be fit into 70 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 37339.33
Subtracting 63 from 70 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 37339.33 and a remainder of 0.007.