We divide 344663 by 61
We want to figure out the number of times 344663 can be divided by 61.

Moving on to step 1:
If we divide 3 by 61, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
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

Let's proceed to step 2:
If we divide 34 by 61, we get 0 and a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Take the next digit (4) from the dividend and append it to 34, then repeat: 344 / 61

Moving on to step 3:
344 divided by 61 is 5 with a remainder of 39.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 305 from 344 to get 39.
Bring next digit (6) of the dividend behind the 39 and repeat the process: 396 / 61

Advancing to step 4:
When dividing 396 by 61, we get 6 with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 56.0
Deduct 366 from 396 and we're left with 30.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 61

Going ahead to step 5:
61 goes into 306 5 times with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 565.0
Subtract 305 from 306 to get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 61

Going ahead to step 6:
13 divided by 61 is 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 5650.0
The remainder is 13 after subtracting 0 from 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
If we divide 130 by 61, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 5650.2
If we subtract 122 from 130, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
The number 61 fits into 80 1 times, leaving a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 5650.21
If we take 61 away from 80, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 9:
If we divide 190 by 61, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 5650.213
Subtracting 183 from 190 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
The number 61 fits into 70 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 5650.2131
If we take 61 away from 70, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 11:
If we divide 90 by 61, we get 1 and a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 5650.21311
Deduct 61 from 90 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.

The final result is 5650.21311 with a remainder of 2.9e-05.