We're dividing 5645671 by 744 
Let's see how many times 744 fits into 5645671.

Moving on to step 1:
If we divide 5 by 744, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 744

Step 2:
When dividing 56 by 744, we get 0 with a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Bring next digit (4) of the dividend behind the 56 and repeat the process: 564 / 744

Advancing to step 3:
744 goes into 564 0 times with a remainder of 564.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 564 and we're left with 564.
Append the next digit (5) from the dividend to 564 and continue with: 5645 / 744

On to step 4:
744 can be fit into 5645 7 times, resulting in a remainder of 437.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 5208 from 5645 leaves us with 437.
Include the next digit (6) from the dividend after 437, then repeat: 4376 / 744

Let's proceed to step 5:
744 can be fit into 4376 5 times, resulting in a remainder of 656.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
If we subtract 3720 from 4376, we get 656.
Fetch the next digit (7) from the dividend, attach it to 656 and continue: 6567 / 744

Let's proceed to step 6:
When dividing 6567 by 744, we get 8 with a remainder of 615.
Use 8 as the next digit of our solution. 
Result so far: 758.0
The remainder is 615 after subtracting 5952 from 6567.
Grab the next digit (1) from the dividend, add it to 615, then carry on: 6151 / 744

Let's proceed to step 7:
744 goes into 6151 8 times with a remainder of 199.
Write down 8 as next digit of the result. 
Result so far: 7588.0
Subtracting 5952 from 6151 leaves us with 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Advancing to step 8:
If we divide 1990 by 744, we get 2 and a remainder of 502.
Use 2 as the next digit of our solution. 
Result so far: 7588.2
Subtract 1488 from 1990 to get 502.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5020, and continue the process.

On to step 9:
When dividing 5020 by 744, we get 6 with a remainder of 556.
Record the quotient 6 as the next digit in the result. 
Result so far: 7588.26
Subtracting 4464 from 5020 leaves us with 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5560, and continue the process.

Step 10:
When dividing 5560 by 744, we get 7 with a remainder of 352.
Record the quotient 7 as the next digit in the result. 
Result so far: 7588.267
Deduct 5208 from 5560 and we're left with 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

Step 11:
When dividing 3520 by 744, we get 4 with a remainder of 544.
Record the quotient 4 as the next digit in the result. 
Result so far: 7588.2674
If we take 2976 away from 3520, we end up with 544.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5440, and continue the process.

Moving on to step 12:
744 can be fit into 5440 7 times, resulting in a remainder of 232.
The number 7 becomes the next digit in our result. 
Result so far: 7588.26747
The remainder is 232 after subtracting 5208 from 5440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Moving on to step 13:
744 goes into 2320 3 times with a remainder of 88.
Record the quotient 3 as the next digit in the result. 
Result so far: 7588.267473
Subtracting 2232 from 2320 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Advancing to step 14:
880 divided by 744 is 1 with a remainder of 136.
The number 1 becomes the next digit in our result. 
Result so far: 7588.2674731
Deduct 744 from 880 and we're left with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Advancing to step 15:
1360 divided by 744 is 1 with a remainder of 616.
Record the quotient 1 as the next digit in the result. 
Result so far: 7588.26747311
The remainder is 616 after subtracting 744 from 1360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6160, and continue the process.

The final result is 7588.26747311 with a remainder of 6.16e-07.