We look at the division of 300438 by 89 
We're looking to find how many times 89 goes into 300438.

Step 1:
When dividing 3 by 89, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 89

Step 2:
If we divide 30 by 89, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Grab the next digit (0) from the dividend, add it to 30, then carry on: 300 / 89

Step 3:
The number 89 fits into 300 3 times, leaving a remainder of 33.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 267 from 300 to get 33.
Include the next digit (4) from the dividend after 33, then repeat: 334 / 89

Going ahead to step 4:
334 divided by 89 is 3 with a remainder of 67.
The next digit of our result is 3. 
Result so far: 33.0
Deduct 267 from 334 and we're left with 67.
Grab the next digit (3) from the dividend, add it to 67, then carry on: 673 / 89

Moving on to step 5:
89 goes into 673 7 times with a remainder of 50.
Record the quotient 7 as the next digit in the result. 
Result so far: 337.0
If we take 623 away from 673, we end up with 50.
Bring next digit (8) of the dividend behind the 50 and repeat the process: 508 / 89

Let's proceed to step 6:
508 divided by 89 is 5 with a remainder of 63.
Record the quotient 5 as the next digit in the result. 
Result so far: 3375.0
Subtract 445 from 508 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

On to step 7:
89 can be fit into 630 7 times, resulting in a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 3375.7
If we take 623 away from 630, we end up with 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 89 fits into 70 0 times, leaving a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 3375.7
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 9:
If we divide 700 by 89, we get 7 and a remainder of 77.
Use 7 as the next digit of our solution. 
Result so far: 3375.707
If we take 623 away from 700, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 10:
89 can be fit into 770 8 times, resulting in a remainder of 58.
Put 8 as the next digit of the answer. 
Result so far: 3375.7078
Subtracting 712 from 770 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 11:
89 goes into 580 6 times with a remainder of 46.
Put 6 as the next digit of the answer. 
Result so far: 3375.70786
Deduct 534 from 580 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 12:
460 divided by 89 is 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 3375.707865
If we subtract 445 from 460, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 13:
89 can be fit into 150 1 times, resulting in a remainder of 61.
Put 1 as the next digit of the answer. 
Result so far: 3375.7078651
Deduct 89 from 150 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 14:
If we divide 610 by 89, we get 6 and a remainder of 76.
Put 6 as the next digit of the answer. 
Result so far: 3375.70786516
If we take 534 away from 610, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

The final result is 3375.70786516 with a remainder of 7.6e-08.