We look at the division of 21617411 by 150 
We're looking to find how many times 150 goes into 21617411.

Advancing to step 1:
When dividing 2 by 150, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 150

Let's proceed to step 2:
When dividing 21 by 150, we get 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Append the next digit (6) from the dividend to 21 and continue with: 216 / 150

Advancing to step 3:
216 divided by 150 is 1 with a remainder of 66.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 150 from 216 to get 66.
Append the next digit (1) from the dividend to 66 and continue with: 661 / 150

Advancing to step 4:
The number 150 fits into 661 4 times, leaving a remainder of 61.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtracting 600 from 661 leaves us with 61.
Fetch the next digit (7) from the dividend, attach it to 61 and continue: 617 / 150

Going ahead to step 5:
When dividing 617 by 150, we get 4 with a remainder of 17.
Use 4 as the next digit of our solution. 
Result so far: 144.0
If we subtract 600 from 617, we get 17.
Take the next digit (4) from the dividend and append it to 17, then repeat: 174 / 150

On to step 6:
When dividing 174 by 150, we get 1 with a remainder of 24.
Write down 1 as next digit of the result. 
Result so far: 1441.0
Subtracting 150 from 174 leaves us with 24.
Include the next digit (1) from the dividend after 24, then repeat: 241 / 150

Moving on to step 7:
If we divide 241 by 150, we get 1 and a remainder of 91.
Use 1 as the next digit of our solution. 
Result so far: 14411.0
Deduct 150 from 241 and we're left with 91.
Take the next digit (1) from the dividend and append it to 91, then repeat: 911 / 150

Advancing to step 8:
150 can be fit into 911 6 times, resulting in a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 144116.0
Subtracting 900 from 911 leaves us 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.

Let's proceed to step 9:
The number 150 fits into 110 0 times, leaving a remainder of 110.
Write down 0 as next digit of the result. 
Result so far: 144116.0
If we take 0 away from 110, we end up with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

On to step 10:
150 can be fit into 1100 7 times, resulting in a remainder of 50.
Use 7 as the next digit of our solution. 
Result so far: 144116.07
Deduct 1050 from 1100 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 11:
150 goes into 500 3 times with a remainder of 50.
Put 3 as the next digit of the answer. 
Result so far: 144116.073
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 12:
The number 150 fits into 500 3 times, leaving a remainder of 50.
Use 3 as the next digit of our solution. 
Result so far: 144116.0733
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 144116.0733 with a remainder of 0.0005.