126879 ÷ 94 
We want to figure out the number of times 126879 can be divided by 94.

Going ahead to step 1:
94 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 94

Advancing to step 2:
The number 94 fits into 12 0 times, leaving a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 94

On to step 3:
When dividing 126 by 94, we get 1 with a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 94 from 126 to get 32.
Grab the next digit (8) from the dividend, add it to 32, then carry on: 328 / 94

Moving on to step 4:
The number 94 fits into 328 3 times, leaving a remainder of 46.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtract 282 from 328 to get 46.
Bring next digit (7) of the dividend behind the 46 and repeat the process: 467 / 94

Step 5:
The number 94 fits into 467 4 times, leaving a remainder of 91.
Write down 4 as next digit of the result. 
Result so far: 134.0
Deduct 376 from 467 and we're left with 91.
Grab the next digit (9) from the dividend, add it to 91, then carry on: 919 / 94

Let's proceed to step 6:
94 goes into 919 9 times with a remainder of 73.
Use 9 as the next digit of our solution. 
Result so far: 1349.0
If we take 846 away from 919, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 7:
94 goes into 730 7 times with a remainder of 72.
Record the quotient 7 as the next digit in the result. 
Result so far: 1349.7
The remainder is 72 after subtracting 658 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 8:
If we divide 720 by 94, we get 7 and a remainder of 62.
Put 7 as the next digit of the answer. 
Result so far: 1349.77
If we subtract 658 from 720, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

The quotient of the division is 1349.77, and the remainder is 0.062.