We look at the division of 7126 by 61 
Let's see how many times 61 fits into 7126.

Going ahead to step 1:
61 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 61

Let's proceed to step 2:
If we divide 71 by 61, we get 1 and a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 61 from 71, we get 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 61

On to step 3:
The number 61 fits into 102 1 times, leaving a remainder of 41.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 61 from 102 leaves us with 41.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 61

Going ahead to step 4:
The number 61 fits into 416 6 times, leaving a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 116.0
The remainder is 50 after subtracting 366 from 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 5:
500 divided by 61 is 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 116.8
The remainder is 12 after subtracting 488 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 6:
When dividing 120 by 61, we get 1 with a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 116.81
The remainder is 59 after subtracting 61 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 7:
When dividing 590 by 61, we get 9 with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 116.819
If we subtract 549 from 590, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 8:
61 goes into 410 6 times with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 116.8196
Subtracting 366 from 410 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 9:
61 can be fit into 440 7 times, resulting in a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 116.81967
The remainder is 13 after subtracting 427 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 10:
The number 61 fits into 130 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 116.819672
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.

Moving on to step 11:
The number 61 fits into 80 1 times, leaving a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 116.8196721
Subtracting 61 from 80 leaves us 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.

On to step 12:
When dividing 190 by 61, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 116.81967213
The remainder is 7 after subtracting 183 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 116.81967213 with a remainder of 7e-09.