10409357 ÷ 872 
Our goal is to divide 10409357 by 872.

Step 1:
The number 872 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 872

On to step 2:
If we divide 10 by 872, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (4) from the dividend after 10, then repeat: 104 / 872

Going ahead to step 3:
If we divide 104 by 872, we get 0 and a remainder of 104.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 104, we get 104.
Include the next digit (0) from the dividend after 104, then repeat: 1040 / 872

On to step 4:
The number 872 fits into 1040 1 times, leaving a remainder of 168.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 872 from 1040 leaves us with 168.
Append the next digit (9) from the dividend to 168 and continue with: 1689 / 872

Moving on to step 5:
1689 divided by 872 is 1 with a remainder of 817.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 872 from 1689 leaves us with 817.
Include the next digit (3) from the dividend after 817, then repeat: 8173 / 872

Step 6:
The number 872 fits into 8173 9 times, leaving a remainder of 325.
Use 9 as the next digit of our solution. 
Result so far: 119.0
Deduct 7848 from 8173 and we're left with 325.
Include the next digit (5) from the dividend after 325, then repeat: 3255 / 872

Let's proceed to step 7:
If we divide 3255 by 872, we get 3 and a remainder of 639.
The number 3 becomes the next digit in our result. 
Result so far: 1193.0
The remainder is 639 after subtracting 2616 from 3255.
Fetch the next digit (7) from the dividend, attach it to 639 and continue: 6397 / 872

On to step 8:
If we divide 6397 by 872, we get 7 and a remainder of 293.
The next digit of our result is 7. 
Result so far: 11937.0
If we subtract 6104 from 6397, we get 293.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2930, and continue the process.

Let's proceed to step 9:
When dividing 2930 by 872, we get 3 with a remainder of 314.
Use 3 as the next digit of our solution. 
Result so far: 11937.3
Deduct 2616 from 2930 and we're left with 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

Moving on to step 10:
When dividing 3140 by 872, we get 3 with a remainder of 524.
Use 3 as the next digit of our solution. 
Result so far: 11937.33
Subtracting 2616 from 3140 leaves us with 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

After the division, we end up with 11937.33 and a remainder of 0.524.