We're dividing 349145 by 89 
We're looking to find how many times 89 goes into 349145.

Moving on to step 1:
3 divided by 89 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 89

Moving on to step 2:
89 can be fit into 34 0 times, resulting in a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Grab the next digit (9) from the dividend, add it to 34, then carry on: 349 / 89

Going ahead to step 3:
The number 89 fits into 349 3 times, leaving a remainder of 82.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 267 from 349 to get 82.
Bring next digit (1) of the dividend behind the 82 and repeat the process: 821 / 89

Advancing to step 4:
The number 89 fits into 821 9 times, leaving a remainder of 20.
The next digit of our result is 9. 
Result so far: 39.0
Subtract 801 from 821 to get 20.
Take the next digit (4) from the dividend and append it to 20, then repeat: 204 / 89

Going ahead to step 5:
The number 89 fits into 204 2 times, leaving a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 392.0
Subtracting 178 from 204 leaves us with 26.
Fetch the next digit (5) from the dividend, attach it to 26 and continue: 265 / 89

On to step 6:
89 goes into 265 2 times with a remainder of 87.
Use 2 as the next digit of our solution. 
Result so far: 3922.0
Subtracting 178 from 265 leaves us with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Let's proceed to step 7:
870 divided by 89 is 9 with a remainder of 69.
Use 9 as the next digit of our solution. 
Result so far: 3922.9
Subtracting 801 from 870 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 8:
When dividing 690 by 89, we get 7 with a remainder of 67.
Record the quotient 7 as the next digit in the result. 
Result so far: 3922.97
Deduct 623 from 690 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 9:
If we divide 670 by 89, we get 7 and a remainder of 47.
Put 7 as the next digit of the answer. 
Result so far: 3922.977
If we take 623 away from 670, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

The quotient of the division is 3922.977, and the remainder is 0.0047.