We look at the division of 8005623 by 743 
We're looking to find how many times 743 goes into 8005623.

Advancing to step 1:
743 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 743

On to step 2:
743 goes into 80 0 times with a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 80 to get 80.
Append the next digit (0) from the dividend to 80 and continue with: 800 / 743

Moving on to step 3:
743 goes into 800 1 times with a remainder of 57.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 743 from 800 leaves us with 57.
Include the next digit (5) from the dividend after 57, then repeat: 575 / 743

Moving on to step 4:
The number 743 fits into 575 0 times, leaving a remainder of 575.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 575 to get 575.
Grab the next digit (6) from the dividend, add it to 575, then carry on: 5756 / 743

Step 5:
5756 divided by 743 is 7 with a remainder of 555.
Record the quotient 7 as the next digit in the result. 
Result so far: 107.0
If we take 5201 away from 5756, we end up with 555.
Include the next digit (2) from the dividend after 555, then repeat: 5552 / 743

Advancing to step 6:
5552 divided by 743 is 7 with a remainder of 351.
Record the quotient 7 as the next digit in the result. 
Result so far: 1077.0
Subtracting 5201 from 5552 leaves us with 351.
Fetch the next digit (3) from the dividend, attach it to 351 and continue: 3513 / 743

Advancing to step 7:
The number 743 fits into 3513 4 times, leaving a remainder of 541.
Use 4 as the next digit of our solution. 
Result so far: 10774.0
If we take 2972 away from 3513, we end up with 541.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5410, and continue the process.

Moving on to step 8:
743 can be fit into 5410 7 times, resulting in a remainder of 209.
Record the quotient 7 as the next digit in the result. 
Result so far: 10774.7
Subtracting 5201 from 5410 leaves us with 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

Going ahead to step 9:
If we divide 2090 by 743, we get 2 and a remainder of 604.
Use 2 as the next digit of our solution. 
Result so far: 10774.72
If we take 1486 away from 2090, we end up with 604.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6040, and continue the process.

Let's proceed to step 10:
6040 divided by 743 is 8 with a remainder of 96.
Record the quotient 8 as the next digit in the result. 
Result so far: 10774.728
Subtracting 5944 from 6040 leaves us with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Let's proceed to step 11:
960 divided by 743 is 1 with a remainder of 217.
Use 1 as the next digit of our solution. 
Result so far: 10774.7281
If we subtract 743 from 960, we get 217.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2170, and continue the process.

Advancing to step 12:
The number 743 fits into 2170 2 times, leaving a remainder of 684.
Record the quotient 2 as the next digit in the result. 
Result so far: 10774.72812
Deduct 1486 from 2170 and we're left with 684.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6840, and continue the process.

Let's proceed to step 13:
743 goes into 6840 9 times with a remainder of 153.
Write down 9 as next digit of the result. 
Result so far: 10774.728129
The remainder is 153 after subtracting 6687 from 6840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1530, and continue the process.

Step 14:
If we divide 1530 by 743, we get 2 and a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 10774.7281292
If we subtract 1486 from 1530, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 15:
If we divide 440 by 743, we get 0 and a remainder of 440.
The next digit of our result is 0. 
Result so far: 10774.7281292
The remainder is 440 after subtracting 0 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

After the division, we end up with 10774.7281292 and a remainder of 4.4e-07.