We're dividing 71774909 by 214 
We want to figure out the number of times 71774909 can be divided by 214.

Going ahead to step 1:
The number 214 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 214

Going ahead to step 2:
71 divided by 214 is 0 with a remainder of 71.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 71 and we're left with 71.
Append the next digit (7) from the dividend to 71 and continue with: 717 / 214

Moving on to step 3:
214 can be fit into 717 3 times, resulting in a remainder of 75.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 642 from 717, we get 75.
Bring next digit (7) of the dividend behind the 75 and repeat the process: 757 / 214

On to step 4:
757 divided by 214 is 3 with a remainder of 115.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
The remainder is 115 after subtracting 642 from 757.
Append the next digit (4) from the dividend to 115 and continue with: 1154 / 214

Going ahead to step 5:
214 goes into 1154 5 times with a remainder of 84.
The number 5 becomes the next digit in our result. 
Result so far: 335.0
Subtracting 1070 from 1154 leaves us with 84.
Include the next digit (9) from the dividend after 84, then repeat: 849 / 214

Moving on to step 6:
If we divide 849 by 214, we get 3 and a remainder of 207.
Use 3 as the next digit of our solution. 
Result so far: 3353.0
If we subtract 642 from 849, we get 207.
Append the next digit (0) from the dividend to 207 and continue with: 2070 / 214

Step 7:
The number 214 fits into 2070 9 times, leaving a remainder of 144.
The number 9 becomes the next digit in our result. 
Result so far: 33539.0
Deduct 1926 from 2070 and we're left with 144.
Include the next digit (9) from the dividend after 144, then repeat: 1449 / 214

Going ahead to step 8:
When dividing 1449 by 214, we get 6 with a remainder of 165.
Record the quotient 6 as the next digit in the result. 
Result so far: 335396.0
Subtract 1284 from 1449 to get 165.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1650, and continue the process.

Let's proceed to step 9:
If we divide 1650 by 214, we get 7 and a remainder of 152.
Put 7 as the next digit of the answer. 
Result so far: 335396.7
If we subtract 1498 from 1650, we get 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Let's proceed to step 10:
1520 divided by 214 is 7 with a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 335396.77
Subtract 1498 from 1520 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The final result is 335396.77 with a remainder of 0.022.