We're dividing 261226 by 7 
We're looking to find how many times 7 goes into 261226.

Let's proceed to step 1:
The number 7 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 7

Let's proceed to step 2:
7 can be fit into 26 3 times, resulting in a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 21 from 26 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 7

Let's proceed to step 3:
51 divided by 7 is 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
If we take 49 away from 51, we end up with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 7

Moving on to step 4:
When dividing 22 by 7, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 373.0
If we subtract 21 from 22, we get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 7

Moving on to step 5:
7 goes into 12 1 times with a remainder of 5.
The next digit of our result is 1. 
Result so far: 3731.0
Deduct 7 from 12 and we're left with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 7

Advancing to step 6:
The number 7 fits into 56 8 times, leaving a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 37318.0
Deduct 56 from 56 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
When dividing 0 by 7, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 37318.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
When dividing 0 by 7, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 37318.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 37318.0 and a remainder of 0.0.