1029111 ÷ 469 
We want to divide 1029111 by 469.

Going ahead to step 1:
1 divided by 469 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 469

Moving on to step 2:
469 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 469

On to step 3:
469 goes into 102 0 times with a remainder of 102.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 102 leaves us with 102.
Bring next digit (9) of the dividend behind the 102 and repeat the process: 1029 / 469

Let's proceed to step 4:
1029 divided by 469 is 2 with a remainder of 91.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 91 after subtracting 938 from 1029.
Grab the next digit (1) from the dividend, add it to 91, then carry on: 911 / 469

Let's proceed to step 5:
When dividing 911 by 469, we get 1 with a remainder of 442.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
The remainder is 442 after subtracting 469 from 911.
Fetch the next digit (1) from the dividend, attach it to 442 and continue: 4421 / 469

Moving on to step 6:
When dividing 4421 by 469, we get 9 with a remainder of 200.
Record the quotient 9 as the next digit in the result. 
Result so far: 219.0
Subtract 4221 from 4421 to get 200.
Grab the next digit (1) from the dividend, add it to 200, then carry on: 2001 / 469

On to step 7:
469 can be fit into 2001 4 times, resulting in a remainder of 125.
The next digit of our result is 4. 
Result so far: 2194.0
Subtract 1876 from 2001 to get 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

On to step 8:
469 can be fit into 1250 2 times, resulting in a remainder of 312.
Put 2 as the next digit of the answer. 
Result so far: 2194.2
The remainder is 312 after subtracting 938 from 1250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3120, and continue the process.

Advancing to step 9:
The number 469 fits into 3120 6 times, leaving a remainder of 306.
Write down 6 as next digit of the result. 
Result so far: 2194.26
Deduct 2814 from 3120 and we're left with 306.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

Let's proceed to step 10:
If we divide 3060 by 469, we get 6 and a remainder of 246.
Put 6 as the next digit of the answer. 
Result so far: 2194.266
If we take 2814 away from 3060, we end up with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

The final outcome is 2194.266, with a leftover of 0.0246.