5909432 ÷ 726 
Our goal is to divide 5909432 by 726.

On to step 1:
5 divided by 726 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 726

Advancing to step 2:
When dividing 59 by 726, we get 0 with a remainder of 59.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 59, we get 59.
Bring next digit (0) of the dividend behind the 59 and repeat the process: 590 / 726

Advancing to step 3:
726 can be fit into 590 0 times, resulting in a remainder of 590.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 590, we get 590.
Take the next digit (9) from the dividend and append it to 590, then repeat: 5909 / 726

Moving on to step 4:
5909 divided by 726 is 8 with a remainder of 101.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 101 after subtracting 5808 from 5909.
Include the next digit (4) from the dividend after 101, then repeat: 1014 / 726

Advancing to step 5:
When dividing 1014 by 726, we get 1 with a remainder of 288.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
Deduct 726 from 1014 and we're left with 288.
Bring next digit (3) of the dividend behind the 288 and repeat the process: 2883 / 726

On to step 6:
When dividing 2883 by 726, we get 3 with a remainder of 705.
Record the quotient 3 as the next digit in the result. 
Result so far: 813.0
Subtract 2178 from 2883 to get 705.
Append the next digit (2) from the dividend to 705 and continue with: 7052 / 726

Let's proceed to step 7:
726 can be fit into 7052 9 times, resulting in a remainder of 518.
Use 9 as the next digit of our solution. 
Result so far: 8139.0
If we subtract 6534 from 7052, we get 518.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5180, and continue the process.

Step 8:
The number 726 fits into 5180 7 times, leaving a remainder of 98.
The number 7 becomes the next digit in our result. 
Result so far: 8139.7
If we subtract 5082 from 5180, we get 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Going ahead to step 9:
726 can be fit into 980 1 times, resulting in a remainder of 254.
The number 1 becomes the next digit in our result. 
Result so far: 8139.71
If we subtract 726 from 980, we get 254.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

On to step 10:
If we divide 2540 by 726, we get 3 and a remainder of 362.
The number 3 becomes the next digit in our result. 
Result so far: 8139.713
If we subtract 2178 from 2540, we get 362.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3620, and continue the process.

Moving on to step 11:
726 can be fit into 3620 4 times, resulting in a remainder of 716.
Use 4 as the next digit of our solution. 
Result so far: 8139.7134
Subtract 2904 from 3620 to get 716.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7160, and continue the process.

On to step 12:
726 goes into 7160 9 times with a remainder of 626.
Put 9 as the next digit of the answer. 
Result so far: 8139.71349
Subtracting 6534 from 7160 leaves us with 626.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6260, and continue the process.

Let's proceed to step 13:
When dividing 6260 by 726, we get 8 with a remainder of 452.
Use 8 as the next digit of our solution. 
Result so far: 8139.713498
Subtracting 5808 from 6260 leaves us with 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

Advancing to step 14:
The number 726 fits into 4520 6 times, leaving a remainder of 164.
The number 6 becomes the next digit in our result. 
Result so far: 8139.7134986
Subtracting 4356 from 4520 leaves us 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.

On to step 15:
726 can be fit into 1640 2 times, resulting in a remainder of 188.
Write down 2 as next digit of the result. 
Result so far: 8139.71349862
Deduct 1452 from 1640 and we're left with 188.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1880, and continue the process.

The quotient of the division is 8139.71349862, and the remainder is 1.88e-07.