Let's divide 126300 by 98
We want to figure out the number of times 126300 can be divided by 98.

On to step 1:
98 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 98

Step 2:
The number 98 fits into 12 0 times, leaving a remainder of 12.
Put 0 as the next digit of the answer. 
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 / 98

On to step 3:
When dividing 126 by 98, we get 1 with a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 98 from 126 to get 28.
Include the next digit (3) from the dividend after 28, then repeat: 283 / 98

Let's proceed to step 4:
98 goes into 283 2 times with a remainder of 87.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Deduct 196 from 283 and we're left with 87.
Take the next digit (0) from the dividend and append it to 87, then repeat: 870 / 98

Step 5:
If we divide 870 by 98, we get 8 and a remainder of 86.
The number 8 becomes the next digit in our result. 
Result so far: 128.0
Subtract 784 from 870 to get 86.
Include the next digit (0) from the dividend after 86, then repeat: 860 / 98

On to step 6:
When dividing 860 by 98, we get 8 with a remainder of 76.
The next digit of our result is 8. 
Result so far: 1288.0
Subtract 784 from 860 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 7:
98 goes into 760 7 times with a remainder of 74.
Put 7 as the next digit of the answer. 
Result so far: 1288.7
The remainder is 74 after subtracting 686 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 8:
740 divided by 98 is 7 with a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 1288.77
Deduct 686 from 740 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The quotient of the division is 1288.77, and the remainder is 0.054.