We look at the division of 138415 by 91 
We want to divide 138415 by 91.

Let's proceed to step 1:
The number 91 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 91

On to step 2:
The number 91 fits into 13 0 times, leaving a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 91

Let's proceed to step 3:
If we divide 138 by 91, we get 1 and a remainder of 47.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 91 away from 138, we end up with 47.
Take the next digit (4) from the dividend and append it to 47, then repeat: 474 / 91

Going ahead to step 4:
91 can be fit into 474 5 times, resulting in a remainder of 19.
Write down 5 as next digit of the result. 
Result so far: 15.0
Subtracting 455 from 474 leaves us with 19.
Fetch the next digit (1) from the dividend, attach it to 19 and continue: 191 / 91

Step 5:
191 divided by 91 is 2 with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 152.0
If we subtract 182 from 191, we get 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 91

Advancing to step 6:
When dividing 95 by 91, we get 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 1521.0
If we take 91 away from 95, we end up 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.

Step 7:
91 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 1521.0
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
If we divide 400 by 91, we get 4 and a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 1521.04
Subtract 364 from 400 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 9:
91 can be fit into 360 3 times, resulting in a remainder of 87.
Use 3 as the next digit of our solution. 
Result so far: 1521.043
Subtract 273 from 360 to get 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Advancing to step 10:
If we divide 870 by 91, we get 9 and a remainder of 51.
The next digit of our result is 9. 
Result so far: 1521.0439
Deduct 819 from 870 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 11:
The number 91 fits into 510 5 times, leaving a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 1521.04395
The remainder is 55 after subtracting 455 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 12:
91 can be fit into 550 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 1521.043956
Subtracting 546 from 550 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.

Advancing to step 13:
40 divided by 91 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 1521.043956
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 14:
91 goes into 400 4 times with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 1521.04395604
The remainder is 36 after subtracting 364 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The quotient of the division is 1521.04395604, and the remainder is 3.6e-08.