We're dividing 741221 by 59 
We're looking to find how many times 59 goes into 741221.

Going ahead to step 1:
59 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 59

Step 2:
When dividing 74 by 59, we get 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 15 after subtracting 59 from 74.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 59

On to step 3:
If we divide 151 by 59, we get 2 and a remainder of 33.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 33 after subtracting 118 from 151.
Append the next digit (2) from the dividend to 33 and continue with: 332 / 59

Advancing to step 4:
59 can be fit into 332 5 times, resulting in a remainder of 37.
The number 5 becomes the next digit in our result. 
Result so far: 125.0
If we subtract 295 from 332, we get 37.
Grab the next digit (2) from the dividend, add it to 37, then carry on: 372 / 59

Advancing to step 5:
The number 59 fits into 372 6 times, leaving a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 1256.0
Subtracting 354 from 372 leaves us with 18.
Fetch the next digit (1) from the dividend, attach it to 18 and continue: 181 / 59

Advancing to step 6:
The number 59 fits into 181 3 times, leaving a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 12563.0
The remainder is 4 after subtracting 177 from 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
If we divide 40 by 59, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 12563.0
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
When dividing 400 by 59, we get 6 with a remainder of 46.
Record the quotient 6 as the next digit in the result. 
Result so far: 12563.06
Deduct 354 from 400 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 9:
460 divided by 59 is 7 with a remainder of 47.
The next digit of our result is 7. 
Result so far: 12563.067
The remainder is 47 after subtracting 413 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 10:
The number 59 fits into 470 7 times, leaving a remainder of 57.
The number 7 becomes the next digit in our result. 
Result so far: 12563.0677
Subtract 413 from 470 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Our division results in 12563.0677 with a remaining 0.00057.