We're dividing 155623 by 59 
Our goal is to divide 155623 by 59.

On to step 1:
When dividing 1 by 59, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 59

Let's proceed to step 2:
59 goes into 15 0 times with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Take the next digit (5) from the dividend and append it to 15, then repeat: 155 / 59

Advancing to step 3:
59 can be fit into 155 2 times, resulting in a remainder of 37.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 118 from 155, we get 37.
Grab the next digit (6) from the dividend, add it to 37, then carry on: 376 / 59

Going ahead to step 4:
The number 59 fits into 376 6 times, leaving a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Subtract 354 from 376 to get 22.
Include the next digit (2) from the dividend after 22, then repeat: 222 / 59

Advancing to step 5:
If we divide 222 by 59, we get 3 and a remainder of 45.
The number 3 becomes the next digit in our result. 
Result so far: 263.0
Deduct 177 from 222 and we're left with 45.
Take the next digit (3) from the dividend and append it to 45, then repeat: 453 / 59

Moving on to step 6:
453 divided by 59 is 7 with a remainder of 40.
Use 7 as the next digit of our solution. 
Result so far: 2637.0
Subtracting 413 from 453 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 7:
59 goes into 400 6 times with a remainder of 46.
Record the quotient 6 as the next digit in the result. 
Result so far: 2637.6
The remainder is 46 after subtracting 354 from 400.
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 8:
59 can be fit into 460 7 times, resulting in a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 2637.67
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.

Let's proceed to step 9:
The number 59 fits into 470 7 times, leaving a remainder of 57.
Put 7 as the next digit of the answer. 
Result so far: 2637.677
Subtracting 413 from 470 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 2637.677 and a remainder of 0.0057.