Let's divide 137577 by 7
We want to divide 137577 by 7.

Going ahead to step 1:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 7

Advancing to step 2:
If we divide 13 by 7, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 7 from 13, we get 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 7

Let's proceed to step 3:
When dividing 67 by 7, we get 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Subtract 63 from 67 to get 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 7

On to step 4:
45 divided by 7 is 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 196.0
Deduct 42 from 45 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 7

Step 5:
When dividing 37 by 7, we get 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 1965.0
The remainder is 2 after subtracting 35 from 37.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 7

Advancing to step 6:
7 can be fit into 27 3 times, resulting in a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 19653.0
If we take 21 away from 27, 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 7:
When dividing 60 by 7, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 19653.8
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.

On to step 8:
When dividing 40 by 7, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 19653.85
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.

Advancing to step 9:
When dividing 50 by 7, we get 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 19653.857
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 10:
10 divided by 7 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 19653.8571
Deduct 7 from 10 and we're left 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.

Advancing to step 11:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 19653.85714
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 can be fit into 20 2 times, resulting in a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 19653.857142
Subtracting 14 from 20 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.

On to step 13:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 19653.8571428
The remainder is 4 after subtracting 56 from 60.
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:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 19653.85714285
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.

The quotient of the division is 19653.85714285, and the remainder is 5e-09.