201005 ÷ 43 
We want to figure out the number of times 201005 can be divided by 43.

Step 1:
43 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 43

Let's proceed to step 2:
43 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 20 to get 20.
Grab the next digit (1) from the dividend, add it to 20, then carry on: 201 / 43

Let's proceed to step 3:
When dividing 201 by 43, we get 4 with a remainder of 29.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 29 after subtracting 172 from 201.
Bring next digit (0) of the dividend behind the 29 and repeat the process: 290 / 43

Let's proceed to step 4:
43 can be fit into 290 6 times, resulting in a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 46.0
Subtract 258 from 290 to get 32.
Take the next digit (0) from the dividend and append it to 32, then repeat: 320 / 43

Let's proceed to step 5:
43 goes into 320 7 times with a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 467.0
If we subtract 301 from 320, we get 19.
Grab the next digit (5) from the dividend, add it to 19, then carry on: 195 / 43

On to step 6:
43 goes into 195 4 times with a remainder of 23.
Put 4 as the next digit of the answer. 
Result so far: 4674.0
Deduct 172 from 195 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
43 goes into 230 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 4674.5
Subtract 215 from 230 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
If we divide 150 by 43, we get 3 and a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 4674.53
Subtract 129 from 150 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
If we divide 210 by 43, we get 4 and a remainder of 38.
The next digit of our result is 4. 
Result so far: 4674.534
Subtracting 172 from 210 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 10:
If we divide 380 by 43, we get 8 and a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 4674.5348
If we subtract 344 from 380, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 11:
43 can be fit into 360 8 times, resulting in a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 4674.53488
Subtracting 344 from 360 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 4674.53488, and the remainder is 1.6e-05.