We're dividing 743586 by 621 
Our goal is to divide 743586 by 621.

On to step 1:
621 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 621

Advancing to step 2:
The number 621 fits into 74 0 times, leaving a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 74 leaves us with 74.
Bring next digit (3) of the dividend behind the 74 and repeat the process: 743 / 621

Advancing to step 3:
743 divided by 621 is 1 with a remainder of 122.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 621 from 743 to get 122.
Take the next digit (5) from the dividend and append it to 122, then repeat: 1225 / 621

Advancing to step 4:
The number 621 fits into 1225 1 times, leaving a remainder of 604.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 621 from 1225, we get 604.
Bring next digit (8) of the dividend behind the 604 and repeat the process: 6048 / 621

On to step 5:
If we divide 6048 by 621, we get 9 and a remainder of 459.
Put 9 as the next digit of the answer. 
Result so far: 119.0
The remainder is 459 after subtracting 5589 from 6048.
Include the next digit (6) from the dividend after 459, then repeat: 4596 / 621

Going ahead to step 6:
The number 621 fits into 4596 7 times, leaving a remainder of 249.
Put 7 as the next digit of the answer. 
Result so far: 1197.0
The remainder is 249 after subtracting 4347 from 4596.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2490, and continue the process.

Step 7:
If we divide 2490 by 621, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 1197.4
If we subtract 2484 from 2490, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
60 divided by 621 is 0 with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 1197.4
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 9:
600 divided by 621 is 0 with a remainder of 600.
The number 0 becomes the next digit in our result. 
Result so far: 1197.4
Subtracting 0 from 600 leaves us with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

The final outcome is 1197.4, with a leftover of 0.06.