We look at the division of 381913 by 90 
We're looking to find how many times 90 goes into 381913.

Advancing to step 1:
If we divide 3 by 90, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 90

Going ahead to step 2:
90 can be fit into 38 0 times, resulting in a remainder of 38.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 38 and we're left with 38.
Bring next digit (1) of the dividend behind the 38 and repeat the process: 381 / 90

On to step 3:
If we divide 381 by 90, we get 4 and a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 360 from 381 leaves us with 21.
Grab the next digit (9) from the dividend, add it to 21, then carry on: 219 / 90

Moving on to step 4:
When dividing 219 by 90, we get 2 with a remainder of 39.
Write down 2 as next digit of the result. 
Result so far: 42.0
Deduct 180 from 219 and we're left with 39.
Append the next digit (1) from the dividend to 39 and continue with: 391 / 90

Let's proceed to step 5:
When dividing 391 by 90, we get 4 with a remainder of 31.
Use 4 as the next digit of our solution. 
Result so far: 424.0
If we take 360 away from 391, we end up with 31.
Take the next digit (3) from the dividend and append it to 31, then repeat: 313 / 90

Let's proceed to step 6:
When dividing 313 by 90, we get 3 with a remainder of 43.
Use 3 as the next digit of our solution. 
Result so far: 4243.0
Subtracting 270 from 313 leaves us 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.

Moving on to step 7:
The number 90 fits into 430 4 times, leaving a remainder of 70.
Put 4 as the next digit of the answer. 
Result so far: 4243.4
Subtract 360 from 430 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
If we divide 700 by 90, we get 7 and a remainder of 70.
The next digit of our result is 7. 
Result so far: 4243.47
If we take 630 away from 700, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 9:
When dividing 700 by 90, we get 7 with a remainder of 70.
Write down 7 as next digit of the result. 
Result so far: 4243.477
Deduct 630 from 700 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Our division results in 4243.477 with a remaining 0.007.