Let's divide 43181 by 69
We're looking to find how many times 69 goes into 43181.

Step 1:
The number 69 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 69

Going ahead to step 2:
43 divided by 69 is 0 with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Grab the next digit (1) from the dividend, add it to 43, then carry on: 431 / 69

Advancing to step 3:
431 divided by 69 is 6 with a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 414 from 431 leaves us with 17.
Take the next digit (8) from the dividend and append it to 17, then repeat: 178 / 69

On to step 4:
If we divide 178 by 69, we get 2 and a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 62.0
Deduct 138 from 178 and we're left with 40.
Bring next digit (1) of the dividend behind the 40 and repeat the process: 401 / 69

On to step 5:
401 divided by 69 is 5 with a remainder of 56.
Write down 5 as next digit of the result. 
Result so far: 625.0
Deduct 345 from 401 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 6:
If we divide 560 by 69, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 625.8
The remainder is 8 after subtracting 552 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
69 can be fit into 80 1 times, resulting in a remainder of 11.
The next digit of our result is 1. 
Result so far: 625.81
If we take 69 away from 80, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
When dividing 110 by 69, we get 1 with a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 625.811
If we take 69 away from 110, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The final result is 625.811 with a remainder of 0.0041.