We look at the division of 101890 by 34 
We're looking to find how many times 34 goes into 101890.

Let's proceed to step 1:
When dividing 1 by 34, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 34

Going ahead to step 2:
The number 34 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 34

On to step 3:
34 can be fit into 101 2 times, resulting in a remainder of 33.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 33 after subtracting 68 from 101.
Include the next digit (8) from the dividend after 33, then repeat: 338 / 34

Step 4:
If we divide 338 by 34, we get 9 and a remainder of 32.
Use 9 as the next digit of our solution. 
Result so far: 29.0
If we subtract 306 from 338, we get 32.
Append the next digit (9) from the dividend to 32 and continue with: 329 / 34

Moving on to step 5:
329 divided by 34 is 9 with a remainder of 23.
Write down 9 as next digit of the result. 
Result so far: 299.0
Subtract 306 from 329 to get 23.
Grab the next digit (0) from the dividend, add it to 23, then carry on: 230 / 34

Advancing to step 6:
When dividing 230 by 34, we get 6 with a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 2996.0
If we take 204 away from 230, we end up 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.

Moving on to step 7:
34 goes into 260 7 times with a remainder of 22.
The next digit of our result is 7. 
Result so far: 2996.7
Subtracting 238 from 260 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
If we divide 220 by 34, we get 6 and a remainder of 16.
The next digit of our result is 6. 
Result so far: 2996.76
If we take 204 away from 220, we end up 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.

Going ahead to step 9:
34 goes into 160 4 times with a remainder of 24.
The next digit of our result is 4. 
Result so far: 2996.764
The remainder is 24 after subtracting 136 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
If we divide 240 by 34, we get 7 and a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 2996.7647
Subtract 238 from 240 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
The number 34 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 2996.7647
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
200 divided by 34 is 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 2996.764705
The remainder is 30 after subtracting 170 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 13:
34 goes into 300 8 times with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 2996.7647058
Subtracting 272 from 300 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 14:
34 goes into 280 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 2996.76470588
Subtracting 272 from 280 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 2996.76470588 with a balance of 8e-09.