We look at the division of 181523 by 59 
Our goal is to divide 181523 by 59.

Step 1:
The number 59 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 59

Moving on to step 2:
59 can be fit into 18 0 times, resulting in a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 18, we get 18.
Grab the next digit (1) from the dividend, add it to 18, then carry on: 181 / 59

Advancing to step 3:
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: 3.0
If we subtract 177 from 181, we get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 59

On to step 4:
59 goes into 45 0 times with a remainder of 45.
The next digit of our result is 0. 
Result so far: 30.0
If we subtract 0 from 45, we get 45.
Bring next digit (2) of the dividend behind the 45 and repeat the process: 452 / 59

Going ahead to step 5:
If we divide 452 by 59, we get 7 and a remainder of 39.
The next digit of our result is 7. 
Result so far: 307.0
The remainder is 39 after subtracting 413 from 452.
Append the next digit (3) from the dividend to 39 and continue with: 393 / 59

Going ahead to step 6:
When dividing 393 by 59, we get 6 with a remainder of 39.
Put 6 as the next digit of the answer. 
Result so far: 3076.0
Deduct 354 from 393 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 7:
59 goes into 390 6 times with a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 3076.6
Deduct 354 from 390 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
The number 59 fits into 360 6 times, leaving a remainder of 6.
The next digit of our result is 6. 
Result so far: 3076.66
The remainder is 6 after subtracting 354 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 3076.66, and the remainder is 0.006.