We're dividing 344961 by 84 
We want to divide 344961 by 84.

Step 1:
84 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
Deduct 0 from 3 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 84

Let's proceed to step 2:
When dividing 34 by 84, we get 0 with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Include the next digit (4) from the dividend after 34, then repeat: 344 / 84

Advancing to step 3:
The number 84 fits into 344 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 336 away from 344, we end up with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 84

Let's proceed to step 4:
If we divide 89 by 84, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 41.0
Subtract 84 from 89 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 84

Let's proceed to step 5:
84 can be fit into 56 0 times, resulting in a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 410.0
The remainder is 56 after subtracting 0 from 56.
Bring next digit (1) of the dividend behind the 56 and repeat the process: 561 / 84

Going ahead to step 6:
561 divided by 84 is 6 with a remainder of 57.
Put 6 as the next digit of the answer. 
Result so far: 4106.0
Deduct 504 from 561 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 7:
84 goes into 570 6 times with a remainder of 66.
Use 6 as the next digit of our solution. 
Result so far: 4106.6
Subtract 504 from 570 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 8:
The number 84 fits into 660 7 times, leaving a remainder of 72.
The next digit of our result is 7. 
Result so far: 4106.67
If we take 588 away from 660, we end up 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.

Step 9:
If we divide 720 by 84, we get 8 and a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 4106.678
If we take 672 away from 720, we end up with 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:
84 can be fit into 480 5 times, resulting in a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 4106.6785
If we take 420 away from 480, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 11:
If we divide 600 by 84, we get 7 and a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 4106.67857
Deduct 588 from 600 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
120 divided by 84 is 1 with a remainder of 36.
The next digit of our result is 1. 
Result so far: 4106.678571
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 13:
360 divided by 84 is 4 with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 4106.6785714
Subtracting 336 from 360 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 14:
84 goes into 240 2 times with a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 4106.67857142
If we take 168 away from 240, we end up 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.

In conclusion, the division gives 4106.67857142 with a balance of 7.2e-08.