We're dividing 444628 by 59 
We want to figure out the number of times 444628 can be divided by 59.

Moving on to step 1:
The number 59 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 59

Going ahead to step 2:
The number 59 fits into 44 0 times, leaving a remainder of 44.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 44, we get 44.
Bring next digit (4) of the dividend behind the 44 and repeat the process: 444 / 59

Advancing to step 3:
When dividing 444 by 59, we get 7 with a remainder of 31.
The next digit of our result is 7. 
Result so far: 7.0
If we take 413 away from 444, we end up with 31.
Grab the next digit (6) from the dividend, add it to 31, then carry on: 316 / 59

Moving on to step 4:
If we divide 316 by 59, we get 5 and a remainder of 21.
Record the quotient 5 as the next digit in the result. 
Result so far: 75.0
The remainder is 21 after subtracting 295 from 316.
Fetch the next digit (2) from the dividend, attach it to 21 and continue: 212 / 59

Let's proceed to step 5:
59 goes into 212 3 times with a remainder of 35.
The number 3 becomes the next digit in our result. 
Result so far: 753.0
Deduct 177 from 212 and we're left with 35.
Fetch the next digit (8) from the dividend, attach it to 35 and continue: 358 / 59

Moving on to step 6:
When dividing 358 by 59, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 7536.0
Subtracting 354 from 358 leaves us with 4.
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:
When dividing 40 by 59, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 7536.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
59 can be fit into 400 6 times, resulting in a remainder of 46.
Write down 6 as next digit of the result. 
Result so far: 7536.06
If we take 354 away from 400, we end up 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.

On to step 9:
If we divide 460 by 59, we get 7 and a remainder of 47.
Write down 7 as next digit of the result. 
Result so far: 7536.067
If we subtract 413 from 460, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 10:
59 can be fit into 470 7 times, resulting in a remainder of 57.
Use 7 as the next digit of our solution. 
Result so far: 7536.0677
If we subtract 413 from 470, we 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.

In conclusion, the division gives 7536.0677 with a balance of 0.00057.