We're dividing 137761 by 10 
We're looking to find how many times 10 goes into 137761.

Advancing to step 1:
When dividing 1 by 10, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 10

Step 2:
The number 10 fits into 13 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 10 away from 13, we end up with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 10

On to step 3:
If we divide 37 by 10, we get 3 and a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtracting 30 from 37 leaves us with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 10

Let's proceed to step 4:
10 goes into 77 7 times with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 137.0
Subtracting 70 from 77 leaves us with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 10

Going ahead to step 5:
When dividing 76 by 10, we get 7 with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 1377.0
Subtracting 70 from 76 leaves us with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 10

On to step 6:
10 goes into 61 6 times with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 13776.0
The remainder is 1 after subtracting 60 from 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
10 divided by 10 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 13776.1
The remainder is 0 after subtracting 10 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
10 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 13776.1
The remainder is 0 after subtracting 0 from 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 9:
0 divided by 10 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 13776.1
Subtracting 0 from 0 leaves us 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.

Our division results in 13776.1 with a remaining 0.0.