We divide 8355921 by 126
We want to figure out the number of times 8355921 can be divided by 126.

Going ahead to step 1:
The number 126 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 126

On to step 2:
If we divide 83 by 126, we get 0 and a remainder of 83.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 83 after subtracting 0 from 83.
Bring next digit (5) of the dividend behind the 83 and repeat the process: 835 / 126

Step 3:
The number 126 fits into 835 6 times, leaving a remainder of 79.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 756 from 835 to get 79.
Grab the next digit (5) from the dividend, add it to 79, then carry on: 795 / 126

Moving on to step 4:
126 can be fit into 795 6 times, resulting in a remainder of 39.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
Deduct 756 from 795 and we're left with 39.
Append the next digit (9) from the dividend to 39 and continue with: 399 / 126

On to step 5:
When dividing 399 by 126, we get 3 with a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 663.0
If we take 378 away from 399, we end up with 21.
Bring next digit (2) of the dividend behind the 21 and repeat the process: 212 / 126

Let's proceed to step 6:
126 can be fit into 212 1 times, resulting in a remainder of 86.
The number 1 becomes the next digit in our result. 
Result so far: 6631.0
Deduct 126 from 212 and we're left with 86.
Grab the next digit (1) from the dividend, add it to 86, then carry on: 861 / 126

On to step 7:
126 goes into 861 6 times with a remainder of 105.
Use 6 as the next digit of our solution. 
Result so far: 66316.0
If we subtract 756 from 861, we get 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

Advancing to step 8:
The number 126 fits into 1050 8 times, leaving a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 66316.8
The remainder is 42 after subtracting 1008 from 1050.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 9:
420 divided by 126 is 3 with a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 66316.83
Subtracting 378 from 420 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 10:
The number 126 fits into 420 3 times, leaving a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 66316.833
Subtracting 378 from 420 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Our division results in 66316.833 with a remaining 0.0042.