Let's divide 181093 by 59
Our goal is to divide 181093 by 59.

On to step 1:
1 divided by 59 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 59

On to step 2:
When dividing 18 by 59, we get 0 with a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 18, we end up with 18.
Fetch the next digit (1) from the dividend, attach it to 18 and continue: 181 / 59

Advancing to step 3:
181 divided by 59 is 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 177 away from 181, we end up with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 59

Advancing to step 4:
40 divided by 59 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
The remainder is 40 after subtracting 0 from 40.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 59

Advancing to step 5:
When dividing 409 by 59, we get 6 with a remainder of 55.
Put 6 as the next digit of the answer. 
Result so far: 306.0
Subtract 354 from 409 to get 55.
Bring next digit (3) of the dividend behind the 55 and repeat the process: 553 / 59

Advancing to step 6:
When dividing 553 by 59, we get 9 with a remainder of 22.
The next digit of our result is 9. 
Result so far: 3069.0
The remainder is 22 after subtracting 531 from 553.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
The number 59 fits into 220 3 times, leaving a remainder of 43.
Record the quotient 3 as the next digit in the result. 
Result so far: 3069.3
If we take 177 away from 220, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 8:
The number 59 fits into 430 7 times, leaving a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 3069.37
Deduct 413 from 430 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 9:
When dividing 170 by 59, we get 2 with a remainder of 52.
The number 2 becomes the next digit in our result. 
Result so far: 3069.372
Subtracting 118 from 170 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 10:
59 can be fit into 520 8 times, resulting in a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 3069.3728
If we subtract 472 from 520, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 11:
If we divide 480 by 59, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 3069.37288
Subtract 472 from 480 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 3069.37288, and the remainder is 8e-06.