We're dividing 300261 by 89 
We want to divide 300261 by 89.

Going ahead to step 1:
When dividing 3 by 89, we get 0 with 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.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 89

Advancing to step 2:
When dividing 30 by 89, we get 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 30 leaves us with 30.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 89

Moving on to step 3:
89 can be fit into 300 3 times, resulting in a remainder of 33.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 267 from 300 leaves us with 33.
Take the next digit (2) from the dividend and append it to 33, then repeat: 332 / 89

Let's proceed to step 4:
332 divided by 89 is 3 with a remainder of 65.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
Subtracting 267 from 332 leaves us with 65.
Append the next digit (6) from the dividend to 65 and continue with: 656 / 89

Let's proceed to step 5:
If we divide 656 by 89, we get 7 and a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 337.0
The remainder is 33 after subtracting 623 from 656.
Take the next digit (1) from the dividend and append it to 33, then repeat: 331 / 89

Moving on to step 6:
89 can be fit into 331 3 times, resulting in a remainder of 64.
Use 3 as the next digit of our solution. 
Result so far: 3373.0
The remainder is 64 after subtracting 267 from 331.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 7:
The number 89 fits into 640 7 times, leaving a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 3373.7
The remainder is 17 after subtracting 623 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 8:
If we divide 170 by 89, we get 1 and a remainder of 81.
Use 1 as the next digit of our solution. 
Result so far: 3373.71
The remainder is 81 after subtracting 89 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Advancing to step 9:
89 goes into 810 9 times with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 3373.719
Subtract 801 from 810 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 10:
90 divided by 89 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 3373.7191
If we take 89 away from 90, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 11:
If we divide 10 by 89, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 3373.7191
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
100 divided by 89 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 3373.719101
Deduct 89 from 100 and we're left 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.

Moving on to step 13:
When dividing 110 by 89, we get 1 with a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 3373.7191011
Subtract 89 from 110 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final result is 3373.7191011 with a remainder of 2.1e-07.