We divide 345961 by 84
We want to figure out the number of times 345961 can be divided by 84.

Step 1:
84 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 84

Going ahead to step 2:
If we divide 34 by 84, we get 0 and a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Fetch the next digit (5) from the dividend, attach it to 34 and continue: 345 / 84

Going ahead to step 3:
345 divided by 84 is 4 with a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 9 after subtracting 336 from 345.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 84

Advancing to step 4:
The number 84 fits into 99 1 times, leaving a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
Deduct 84 from 99 and we're left with 15.
Include the next digit (6) from the dividend after 15, then repeat: 156 / 84

Advancing to step 5:
84 goes into 156 1 times with a remainder of 72.
Record the quotient 1 as the next digit in the result. 
Result so far: 411.0
If we subtract 84 from 156, we get 72.
Take the next digit (1) from the dividend and append it to 72, then repeat: 721 / 84

Step 6:
84 can be fit into 721 8 times, resulting in a remainder of 49.
The next digit of our result is 8. 
Result so far: 4118.0
If we take 672 away from 721, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 7:
84 goes into 490 5 times with a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 4118.5
The remainder is 70 after subtracting 420 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 8:
84 can be fit into 700 8 times, resulting in a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 4118.58
If we take 672 away from 700, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
The number 84 fits into 280 3 times, leaving a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 4118.583
The remainder is 28 after subtracting 252 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 10:
If we divide 280 by 84, we get 3 and a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 4118.5833
If we subtract 252 from 280, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 4118.5833, and the remainder is 0.00028.