We're dividing 379669 by 89 
We want to divide 379669 by 89.

Moving on to step 1:
89 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 89

Going ahead to step 2:
If we divide 37 by 89, we get 0 and a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Fetch the next digit (9) from the dividend, attach it to 37 and continue: 379 / 89

Step 3:
When dividing 379 by 89, we get 4 with a remainder of 23.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 356 from 379 leaves us with 23.
Include the next digit (6) from the dividend after 23, then repeat: 236 / 89

Going ahead to step 4:
89 goes into 236 2 times with a remainder of 58.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
Subtracting 178 from 236 leaves us with 58.
Bring next digit (6) of the dividend behind the 58 and repeat the process: 586 / 89

Advancing to step 5:
When dividing 586 by 89, we get 6 with a remainder of 52.
Record the quotient 6 as the next digit in the result. 
Result so far: 426.0
Subtracting 534 from 586 leaves us with 52.
Bring next digit (9) of the dividend behind the 52 and repeat the process: 529 / 89

Step 6:
89 goes into 529 5 times with a remainder of 84.
Record the quotient 5 as the next digit in the result. 
Result so far: 4265.0
Subtract 445 from 529 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Step 7:
If we divide 840 by 89, we get 9 and a remainder of 39.
The next digit of our result is 9. 
Result so far: 4265.9
Subtracting 801 from 840 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 8:
The number 89 fits into 390 4 times, leaving a remainder of 34.
Put 4 as the next digit of the answer. 
Result so far: 4265.94
Subtract 356 from 390 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 9:
If we divide 340 by 89, we get 3 and a remainder of 73.
Put 3 as the next digit of the answer. 
Result so far: 4265.943
Subtracting 267 from 340 leaves us with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 10:
89 goes into 730 8 times with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 4265.9438
If we subtract 712 from 730, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
180 divided by 89 is 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 4265.94382
If we take 178 away from 180, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
The number 89 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 4265.94382
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
The number 89 fits into 200 2 times, leaving a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 4265.9438202
Subtracting 178 from 200 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 14:
The number 89 fits into 220 2 times, leaving a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 4265.94382022
The remainder is 42 after subtracting 178 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final outcome is 4265.94382022, with a leftover of 4.2e-08.