Let's divide 341419 by 89
We're looking to find how many times 89 goes into 341419.

Step 1:
89 goes into 3 0 times with 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.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 89

Advancing to step 2:
The number 89 fits into 34 0 times, leaving a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Fetch the next digit (1) from the dividend, attach it to 34 and continue: 341 / 89

Let's proceed to step 3:
341 divided by 89 is 3 with a remainder of 74.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 267 from 341 to get 74.
Grab the next digit (4) from the dividend, add it to 74, then carry on: 744 / 89

Going ahead to step 4:
89 goes into 744 8 times with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
Subtract 712 from 744 to get 32.
Fetch the next digit (1) from the dividend, attach it to 32 and continue: 321 / 89

Advancing to step 5:
The number 89 fits into 321 3 times, leaving a remainder of 54.
Write down 3 as next digit of the result. 
Result so far: 383.0
Deduct 267 from 321 and we're left with 54.
Take the next digit (9) from the dividend and append it to 54, then repeat: 549 / 89

On to step 6:
The number 89 fits into 549 6 times, leaving a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 3836.0
Subtract 534 from 549 to 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.

Advancing to step 7:
When dividing 150 by 89, we get 1 with a remainder of 61.
Put 1 as the next digit of the answer. 
Result so far: 3836.1
The remainder is 61 after subtracting 89 from 150.
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 8:
The number 89 fits into 610 6 times, leaving a remainder of 76.
The number 6 becomes the next digit in our result. 
Result so far: 3836.16
Deduct 534 from 610 and we're left 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.

Going ahead to step 9:
760 divided by 89 is 8 with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 3836.168
If we subtract 712 from 760, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 10:
The number 89 fits into 480 5 times, leaving a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 3836.1685
Deduct 445 from 480 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 11:
89 goes into 350 3 times with a remainder of 83.
The next digit of our result is 3. 
Result so far: 3836.16853
If we take 267 away from 350, we end up with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Step 12:
89 can be fit into 830 9 times, resulting in a remainder of 29.
Use 9 as the next digit of our solution. 
Result so far: 3836.168539
Deduct 801 from 830 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 13:
The number 89 fits into 290 3 times, leaving a remainder of 23.
The number 3 becomes the next digit in our result. 
Result so far: 3836.1685393
Subtract 267 from 290 to 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.

Let's proceed to step 14:
The number 89 fits into 230 2 times, leaving a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 3836.16853932
The remainder is 52 after subtracting 178 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

After the division, we end up with 3836.16853932 and a remainder of 5.2e-08.