364478 ÷ 89 
We want to divide 364478 by 89.

Advancing to step 1:
If we divide 3 by 89, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 89

Advancing to step 2:
If we divide 36 by 89, we get 0 and a remainder of 36.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 36 leaves us with 36.
Take the next digit (4) from the dividend and append it to 36, then repeat: 364 / 89

Moving on to step 3:
89 goes into 364 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 356 away from 364, we end up with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 89

Moving on to step 4:
When dividing 84 by 89, we get 0 with a remainder of 84.
Use 0 as the next digit of our solution. 
Result so far: 40.0
Deduct 0 from 84 and we're left with 84.
Grab the next digit (7) from the dividend, add it to 84, then carry on: 847 / 89

Advancing to step 5:
The number 89 fits into 847 9 times, leaving a remainder of 46.
The next digit of our result is 9. 
Result so far: 409.0
Deduct 801 from 847 and we're left with 46.
Take the next digit (8) from the dividend and append it to 46, then repeat: 468 / 89

Step 6:
89 can be fit into 468 5 times, resulting in a remainder of 23.
The number 5 becomes the next digit in our result. 
Result so far: 4095.0
If we subtract 445 from 468, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 7:
89 goes into 230 2 times with a remainder of 52.
The next digit of our result is 2. 
Result so far: 4095.2
Subtracting 178 from 230 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 8:
89 goes into 520 5 times with a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 4095.25
Subtract 445 from 520 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 9:
89 goes into 750 8 times with a remainder of 38.
Write down 8 as next digit of the result. 
Result so far: 4095.258
If we subtract 712 from 750, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 10:
89 can be fit into 380 4 times, resulting in a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 4095.2584
Subtract 356 from 380 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
When dividing 240 by 89, we get 2 with a remainder of 62.
The number 2 becomes the next digit in our result. 
Result so far: 4095.25842
Deduct 178 from 240 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 12:
When dividing 620 by 89, we get 6 with a remainder of 86.
Use 6 as the next digit of our solution. 
Result so far: 4095.258426
If we take 534 away from 620, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

On to step 13:
89 goes into 860 9 times with a remainder of 59.
Use 9 as the next digit of our solution. 
Result so far: 4095.2584269
Subtracting 801 from 860 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 14:
If we divide 590 by 89, we get 6 and a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 4095.25842696
If we take 534 away from 590, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

In conclusion, the division gives 4095.25842696 with a balance of 5.6e-08.