126059 divided by 97 
We're looking to find how many times 97 goes into 126059.

Moving on to step 1:
97 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 97

Step 2:
97 can be fit into 12 0 times, resulting in a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 97

Advancing to step 3:
97 goes into 126 1 times with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 97 from 126 to get 29.
Bring next digit (0) of the dividend behind the 29 and repeat the process: 290 / 97

Advancing to step 4:
The number 97 fits into 290 2 times, leaving a remainder of 96.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 96 after subtracting 194 from 290.
Include the next digit (5) from the dividend after 96, then repeat: 965 / 97

Step 5:
If we divide 965 by 97, we get 9 and a remainder of 92.
Put 9 as the next digit of the answer. 
Result so far: 129.0
Subtracting 873 from 965 leaves us with 92.
Grab the next digit (9) from the dividend, add it to 92, then carry on: 929 / 97

Going ahead to step 6:
When dividing 929 by 97, we get 9 with a remainder of 56.
Put 9 as the next digit of the answer. 
Result so far: 1299.0
Subtracting 873 from 929 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 7:
560 divided by 97 is 5 with a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 1299.5
Subtracting 485 from 560 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 8:
The number 97 fits into 750 7 times, leaving a remainder of 71.
The next digit of our result is 7. 
Result so far: 1299.57
Subtracting 679 from 750 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Moving on to step 9:
710 divided by 97 is 7 with a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 1299.577
If we take 679 away from 710, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The quotient of the division is 1299.577, and the remainder is 0.0031.