4193471 ÷ 802 
Our goal is to divide 4193471 by 802.

Advancing to step 1:
When dividing 4 by 802, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 802

Let's proceed to step 2:
The number 802 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Grab the next digit (9) from the dividend, add it to 41, then carry on: 419 / 802

On to step 3:
The number 802 fits into 419 0 times, leaving a remainder of 419.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 419 after subtracting 0 from 419.
Take the next digit (3) from the dividend and append it to 419, then repeat: 4193 / 802

Step 4:
802 goes into 4193 5 times with a remainder of 183.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 4010 from 4193 leaves us with 183.
Fetch the next digit (4) from the dividend, attach it to 183 and continue: 1834 / 802

Going ahead to step 5:
If we divide 1834 by 802, we get 2 and a remainder of 230.
The next digit of our result is 2. 
Result so far: 52.0
Subtracting 1604 from 1834 leaves us with 230.
Bring next digit (7) of the dividend behind the 230 and repeat the process: 2307 / 802

Advancing to step 6:
When dividing 2307 by 802, we get 2 with a remainder of 703.
Write down 2 as next digit of the result. 
Result so far: 522.0
The remainder is 703 after subtracting 1604 from 2307.
Grab the next digit (1) from the dividend, add it to 703, then carry on: 7031 / 802

Let's proceed to step 7:
802 can be fit into 7031 8 times, resulting in a remainder of 615.
The number 8 becomes the next digit in our result. 
Result so far: 5228.0
Subtract 6416 from 7031 to get 615.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6150, and continue the process.

Going ahead to step 8:
802 goes into 6150 7 times with a remainder of 536.
The next digit of our result is 7. 
Result so far: 5228.7
Deduct 5614 from 6150 and we're left with 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

Going ahead to step 9:
The number 802 fits into 5360 6 times, leaving a remainder of 548.
Use 6 as the next digit of our solution. 
Result so far: 5228.76
Subtracting 4812 from 5360 leaves us with 548.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5480, and continue the process.

On to step 10:
802 can be fit into 5480 6 times, resulting in a remainder of 668.
Put 6 as the next digit of the answer. 
Result so far: 5228.766
The remainder is 668 after subtracting 4812 from 5480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6680, and continue the process.

The quotient of the division is 5228.766, and the remainder is 0.0668.