379276 ÷ 89 
Our goal is to divide 379276 by 89.

Advancing to step 1:
The number 89 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 89

Going ahead to step 2:
89 can be fit into 37 0 times, resulting in a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Grab the next digit (9) from the dividend, add it to 37, then carry on: 379 / 89

Moving on to step 3:
When dividing 379 by 89, we get 4 with a remainder of 23.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 356 from 379 and we're left with 23.
Bring next digit (2) of the dividend behind the 23 and repeat the process: 232 / 89

Step 4:
The number 89 fits into 232 2 times, leaving a remainder of 54.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
Subtract 178 from 232 to get 54.
Fetch the next digit (7) from the dividend, attach it to 54 and continue: 547 / 89

Moving on to step 5:
The number 89 fits into 547 6 times, leaving a remainder of 13.
The next digit of our result is 6. 
Result so far: 426.0
Deduct 534 from 547 and we're left with 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 89

Let's proceed to step 6:
If we divide 136 by 89, we get 1 and a remainder of 47.
Put 1 as the next digit of the answer. 
Result so far: 4261.0
The remainder is 47 after subtracting 89 from 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
When dividing 470 by 89, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 4261.5
Subtract 445 from 470 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
If we divide 250 by 89, we get 2 and a remainder of 72.
The next digit of our result is 2. 
Result so far: 4261.52
Subtracting 178 from 250 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 9:
When dividing 720 by 89, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 4261.528
The remainder is 8 after subtracting 712 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
80 divided by 89 is 0 with a remainder of 80.
The next digit of our result is 0. 
Result so far: 4261.528
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 11:
When dividing 800 by 89, we get 8 with a remainder of 88.
Record the quotient 8 as the next digit in the result. 
Result so far: 4261.52808
If we subtract 712 from 800, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Going ahead to step 12:
If we divide 880 by 89, we get 9 and a remainder of 79.
Record the quotient 9 as the next digit in the result. 
Result so far: 4261.528089
If we take 801 away from 880, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Advancing to step 13:
When dividing 790 by 89, we get 8 with a remainder of 78.
Write down 8 as next digit of the result. 
Result so far: 4261.5280898
The remainder is 78 after subtracting 712 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 14:
780 divided by 89 is 8 with a remainder of 68.
Record the quotient 8 as the next digit in the result. 
Result so far: 4261.52808988
The remainder is 68 after subtracting 712 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

After the division, we end up with 4261.52808988 and a remainder of 6.8e-08.