819638 ÷ 9 
Our goal is to divide 819638 by 9.

Advancing to step 1:
9 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 9

Step 2:
If we divide 81 by 9, we get 9 and a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 81 from 81 and we're left with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 9

Going ahead to step 3:
9 divided by 9 is 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 91.0
If we subtract 9 from 9, we get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 9

Moving on to step 4:
When dividing 6 by 9, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 910.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 9

Step 5:
If we divide 63 by 9, we get 7 and a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 9107.0
The remainder is 0 after subtracting 63 from 63.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 9

Going ahead to step 6:
The number 9 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 91070.0
If we take 0 away from 8, 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.

Advancing to step 7:
80 divided by 9 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 91070.8
If we take 72 away from 80, 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.

Advancing to step 8:
80 divided by 9 is 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 91070.88
Subtract 72 from 80 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 91070.88, with a leftover of 0.008.