We divide 126938 by 17
Let's see how many times 17 fits into 126938.

Advancing to step 1:
When dividing 1 by 17, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 17

Going ahead to step 2:
17 goes into 12 0 times with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 17

On to step 3:
126 divided by 17 is 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 119 from 126, we get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 17

On to step 4:
17 goes into 79 4 times with a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
Deduct 68 from 79 and we're left with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 17

Step 5:
17 can be fit into 113 6 times, resulting in a remainder of 11.
The next digit of our result is 6. 
Result so far: 746.0
Deduct 102 from 113 and we're left with 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 17

On to step 6:
If we divide 118 by 17, we get 6 and a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 7466.0
Deduct 102 from 118 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
When dividing 160 by 17, we get 9 with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 7466.9
Deduct 153 from 160 and we're left 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.

Going ahead to step 8:
70 divided by 17 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 7466.94
If we take 68 away from 70, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
The number 17 fits into 20 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 7466.941
The remainder is 3 after subtracting 17 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
When dividing 30 by 17, we get 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 7466.9411
Subtracting 17 from 30 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.

The quotient of the division is 7466.9411, and the remainder is 0.00013.