10294 ÷ 9 
Our goal is to divide 10294 by 9.

Moving on to step 1:
1 divided by 9 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 9

Step 2:
If we divide 10 by 9, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 9 away from 10, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 9

On to step 3:
9 can be fit into 12 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 9 away from 12, we end up with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 9

Step 4:
9 can be fit into 39 4 times, resulting in a remainder of 3.
The next digit of our result is 4. 
Result so far: 114.0
If we take 36 away from 39, we end up with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 9

Going ahead to step 5:
If we divide 34 by 9, we get 3 and a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 1143.0
Deduct 27 from 34 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 6:
9 goes into 70 7 times with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 1143.7
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 7:
If we divide 70 by 9, we get 7 and a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 1143.77
Deduct 63 from 70 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.

The final outcome is 1143.77, with a leftover of 0.007.