We look at the division of 155963 by 59 
We want to figure out the number of times 155963 can be divided by 59.

On to step 1:
1 divided by 59 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 59

On to step 2:
The number 59 fits into 15 0 times, leaving a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Take the next digit (5) from the dividend and append it to 15, then repeat: 155 / 59

Advancing to step 3:
The number 59 fits into 155 2 times, leaving a remainder of 37.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 118 from 155, we get 37.
Grab the next digit (9) from the dividend, add it to 37, then carry on: 379 / 59

Moving on to step 4:
59 goes into 379 6 times with a remainder of 25.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Subtract 354 from 379 to get 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 59

Advancing to step 5:
When dividing 256 by 59, we get 4 with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 264.0
Deduct 236 from 256 and we're left with 20.
Fetch the next digit (3) from the dividend, attach it to 20 and continue: 203 / 59

Let's proceed to step 6:
If we divide 203 by 59, we get 3 and a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 2643.0
Subtracting 177 from 203 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
260 divided by 59 is 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 2643.4
If we take 236 away from 260, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
When dividing 240 by 59, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 2643.44
Subtract 236 from 240 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 2643.44 with a remainder of 0.004.