Let's divide 343976 by 61
Our goal is to divide 343976 by 61.

Advancing to step 1:
3 divided by 61 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 61

Moving on to step 2:
34 divided by 61 is 0 with a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 61

Moving on to step 3:
When dividing 343 by 61, we get 5 with a remainder of 38.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 305 from 343 leaves us with 38.
Grab the next digit (9) from the dividend, add it to 38, then carry on: 389 / 61

Step 4:
61 goes into 389 6 times with a remainder of 23.
The number 6 becomes the next digit in our result. 
Result so far: 56.0
The remainder is 23 after subtracting 366 from 389.
Fetch the next digit (7) from the dividend, attach it to 23 and continue: 237 / 61

On to step 5:
If we divide 237 by 61, we get 3 and a remainder of 54.
Record the quotient 3 as the next digit in the result. 
Result so far: 563.0
Subtract 183 from 237 to get 54.
Take the next digit (6) from the dividend and append it to 54, then repeat: 546 / 61

On to step 6:
When dividing 546 by 61, we get 8 with a remainder of 58.
Use 8 as the next digit of our solution. 
Result so far: 5638.0
Subtracting 488 from 546 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 7:
61 can be fit into 580 9 times, resulting in a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 5638.9
The remainder is 31 after subtracting 549 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 8:
61 goes into 310 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5638.95
Subtract 305 from 310 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
The number 61 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 5638.95
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 10:
When dividing 500 by 61, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 5638.9508
If we subtract 488 from 500, we get 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 11:
61 goes into 120 1 times with a remainder of 59.
Write down 1 as next digit of the result. 
Result so far: 5638.95081
Subtracting 61 from 120 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 12:
The number 61 fits into 590 9 times, leaving a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 5638.950819
The remainder is 41 after subtracting 549 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 13:
410 divided by 61 is 6 with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 5638.9508196
Subtract 366 from 410 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 14:
When dividing 440 by 61, we get 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 5638.95081967
Subtracting 427 from 440 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 5638.95081967 with a balance of 1.3e-08.