We're dividing 130946 by 7 
We're looking to find how many times 7 goes into 130946.

Let's proceed to step 1:
1 divided by 7 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 7

Advancing to step 2:
When dividing 13 by 7, we get 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 7 from 13 to get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 7

Going ahead to step 3:
If we divide 60 by 7, we get 8 and a remainder of 4.
The next digit of our result is 8. 
Result so far: 18.0
Subtract 56 from 60 to get 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 7

Going ahead to step 4:
7 can be fit into 49 7 times, resulting in a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 187.0
Subtract 49 from 49 to get 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 7

Let's proceed to step 5:
7 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 1870.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 7

Advancing to step 6:
46 divided by 7 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 18706.0
Deduct 42 from 46 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
If we divide 40 by 7, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 18706.5
If we take 35 away from 40, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
50 divided by 7 is 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 18706.57
If we subtract 49 from 50, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 18706.571
If we subtract 7 from 10, we get 3.
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:
If we divide 30 by 7, we get 4 and a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 18706.5714
Deduct 28 from 30 and we're left 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.

Step 11:
If we divide 20 by 7, we get 2 and a remainder of 6.
The next digit of our result is 2. 
Result so far: 18706.57142
If we take 14 away from 20, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
When dividing 60 by 7, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 18706.571428
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
When dividing 40 by 7, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 18706.5714285
If we subtract 35 from 40, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
When dividing 50 by 7, we get 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 18706.57142857
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 18706.57142857 with a balance of 1e-09.