We look at the division of 877629 by 7 
Our goal is to divide 877629 by 7.

Step 1:
7 goes into 8 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 1 after subtracting 7 from 8.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 7

Going ahead to step 2:
The number 7 fits into 17 2 times, leaving a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 12.0
The remainder is 3 after subtracting 14 from 17.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 7

On to step 3:
7 can be fit into 37 5 times, resulting in a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 125.0
If we take 35 away from 37, we end up with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 7

Advancing to step 4:
If we divide 26 by 7, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 1253.0
If we subtract 21 from 26, we get 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 7

Step 5:
7 can be fit into 52 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 12537.0
Subtracting 49 from 52 leaves us with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 7

On to step 6:
If we divide 39 by 7, we get 5 and a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 125375.0
Subtracting 35 from 39 leaves us 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.

Moving on to step 7:
40 divided by 7 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 125375.5
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.

Let's proceed to step 8:
If we divide 50 by 7, we get 7 and a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 125375.57
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.

Step 9:
7 goes into 10 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 125375.571
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.

Going ahead to step 10:
If we divide 30 by 7, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 125375.5714
If we subtract 28 from 30, we get 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 11:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The next digit of our result is 2. 
Result so far: 125375.57142
The remainder is 6 after subtracting 14 from 20.
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:
The number 7 fits into 60 8 times, leaving a remainder of 4.
The next digit of our result is 8. 
Result so far: 125375.571428
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.

Advancing to step 13:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 125375.5714285
Subtracting 35 from 40 leaves us 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.

Moving on to step 14:
When dividing 50 by 7, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 125375.57142857
Subtracting 49 from 50 leaves us 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.

Our division results in 125375.57142857 with a remaining 1e-09.