We're dividing 743583 by 61 
Let's see how many times 61 fits into 743583.

Advancing to step 1:
When dividing 7 by 61, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 61

Advancing to step 2:
If we divide 74 by 61, we get 1 and a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 61 from 74, we get 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 61

On to step 3:
133 divided by 61 is 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 122 away from 133, we end up with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 61

Advancing to step 4:
If we divide 115 by 61, we get 1 and a remainder of 54.
Use 1 as the next digit of our solution. 
Result so far: 121.0
Deduct 61 from 115 and we're left with 54.
Include the next digit (8) from the dividend after 54, then repeat: 548 / 61

Let's proceed to step 5:
61 can be fit into 548 8 times, resulting in a remainder of 60.
The next digit of our result is 8. 
Result so far: 1218.0
Deduct 488 from 548 and we're left with 60.
Append the next digit (3) from the dividend to 60 and continue with: 603 / 61

Advancing to step 6:
61 goes into 603 9 times with a remainder of 54.
Use 9 as the next digit of our solution. 
Result so far: 12189.0
Subtract 549 from 603 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 7:
When dividing 540 by 61, we get 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 12189.8
If we subtract 488 from 540, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 8:
If we divide 520 by 61, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 12189.88
Subtract 488 from 520 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 12189.88 with a remainder of 0.032.