We're dividing 4100623 by 724 
We want to divide 4100623 by 724.

Advancing to step 1:
724 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 724

Let's proceed to step 2:
41 divided by 724 is 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Grab the next digit (0) from the dividend, add it to 41, then carry on: 410 / 724

Going ahead to step 3:
The number 724 fits into 410 0 times, leaving a remainder of 410.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 410, we end up with 410.
Bring next digit (0) of the dividend behind the 410 and repeat the process: 4100 / 724

Step 4:
If we divide 4100 by 724, we get 5 and a remainder of 480.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 3620 from 4100 and we're left with 480.
Append the next digit (6) from the dividend to 480 and continue with: 4806 / 724

On to step 5:
724 can be fit into 4806 6 times, resulting in a remainder of 462.
Put 6 as the next digit of the answer. 
Result so far: 56.0
The remainder is 462 after subtracting 4344 from 4806.
Append the next digit (2) from the dividend to 462 and continue with: 4622 / 724

Going ahead to step 6:
The number 724 fits into 4622 6 times, leaving a remainder of 278.
The next digit of our result is 6. 
Result so far: 566.0
Deduct 4344 from 4622 and we're left with 278.
Bring next digit (3) of the dividend behind the 278 and repeat the process: 2783 / 724

Step 7:
724 can be fit into 2783 3 times, resulting in a remainder of 611.
Put 3 as the next digit of the answer. 
Result so far: 5663.0
The remainder is 611 after subtracting 2172 from 2783.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6110, and continue the process.

Moving on to step 8:
6110 divided by 724 is 8 with a remainder of 318.
The number 8 becomes the next digit in our result. 
Result so far: 5663.8
If we subtract 5792 from 6110, we get 318.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

Moving on to step 9:
724 can be fit into 3180 4 times, resulting in a remainder of 284.
Put 4 as the next digit of the answer. 
Result so far: 5663.84
If we take 2896 away from 3180, we end up with 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

Going ahead to step 10:
If we divide 2840 by 724, we get 3 and a remainder of 668.
Write down 3 as next digit of the result. 
Result so far: 5663.843
If we take 2172 away from 2840, we end up with 668.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6680, and continue the process.

Advancing to step 11:
724 can be fit into 6680 9 times, resulting in a remainder of 164.
The next digit of our result is 9. 
Result so far: 5663.8439
If we take 6516 away from 6680, we end up with 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Let's proceed to step 12:
If we divide 1640 by 724, we get 2 and a remainder of 192.
Write down 2 as next digit of the result. 
Result so far: 5663.84392
Subtracting 1448 from 1640 leaves us with 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Let's proceed to step 13:
When dividing 1920 by 724, we get 2 with a remainder of 472.
Write down 2 as next digit of the result. 
Result so far: 5663.843922
Deduct 1448 from 1920 and we're left with 472.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4720, and continue the process.

The final outcome is 5663.843922, with a leftover of 4.72e-05.