We look at the division of 181958 by 19 
Let's see how many times 19 fits into 181958.

On to step 1:
When dividing 1 by 19, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
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 / 19

Step 2:
If we divide 18 by 19, we get 0 and a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 18 and we're left with 18.
Grab the next digit (1) from the dividend, add it to 18, then carry on: 181 / 19

Going ahead to step 3:
If we divide 181 by 19, we get 9 and a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we subtract 171 from 181, we get 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 19

Going ahead to step 4:
If we divide 109 by 19, we get 5 and a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 95.0
Subtracting 95 from 109 leaves us with 14.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 19

Step 5:
145 divided by 19 is 7 with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 957.0
Subtracting 133 from 145 leaves us with 12.
Bring next digit (8) of the dividend behind the 12 and repeat the process: 128 / 19

Going ahead to step 6:
19 goes into 128 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 9576.0
The remainder is 14 after subtracting 114 from 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
When dividing 140 by 19, we get 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 9576.7
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
The number 19 fits into 70 3 times, leaving a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 9576.73
If we subtract 57 from 70, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 9:
If we divide 130 by 19, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 9576.736
Subtracting 114 from 130 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.

Advancing to step 10:
If we divide 160 by 19, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 9576.7368
If we subtract 152 from 160, we 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.

Advancing to step 11:
If we divide 80 by 19, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 9576.73684
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
19 goes into 40 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 9576.736842
Subtracting 38 from 40 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
If we divide 20 by 19, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 9576.7368421
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 14:
19 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 9576.7368421
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 9576.7368421, with a leftover of 1e-08.