Let's divide 130969 by 7
We want to figure out the number of times 130969 can be divided by 7.

On 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 subtract 0 from 1, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 7

Moving on to step 2:
When dividing 13 by 7, we get 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 7 away from 13, we end up with 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 7

Step 3:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtracting 56 from 60 leaves us with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 7

On to step 4:
When dividing 49 by 7, we get 7 with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 187.0
If we subtract 49 from 49, we get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 7

Let's proceed to step 5:
The number 7 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 1870.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 7

Advancing to step 6:
7 can be fit into 69 9 times, resulting in a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 18709.0
Subtracting 63 from 69 leaves us 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.

Moving on to step 7:
When dividing 60 by 7, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 18709.8
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
7 goes into 40 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 18709.85
Subtract 35 from 40 to 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.

Step 9:
7 goes into 50 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 18709.857
Deduct 49 from 50 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
10 divided by 7 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 18709.8571
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
7 goes into 30 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 18709.85714
If we take 28 away from 30, 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.

Going ahead to step 12:
7 goes into 20 2 times with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 18709.857142
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
60 divided by 7 is 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 18709.8571428
Subtract 56 from 60 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
If we divide 40 by 7, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 18709.85714285
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.

Our division results in 18709.85714285 with a remaining 5e-09.