We divide 113825 by 86
Our goal is to divide 113825 by 86.

Step 1:
When dividing 1 by 86, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 86

Let's proceed to step 2:
When dividing 11 by 86, we get 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 86

On to step 3:
The number 86 fits into 113 1 times, leaving a remainder of 27.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 86 from 113 leaves us with 27.
Bring next digit (8) of the dividend behind the 27 and repeat the process: 278 / 86

Step 4:
If we divide 278 by 86, we get 3 and a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 20 after subtracting 258 from 278.
Take the next digit (2) from the dividend and append it to 20, then repeat: 202 / 86

Step 5:
86 can be fit into 202 2 times, resulting in a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 132.0
Subtracting 172 from 202 leaves us with 30.
Append the next digit (5) from the dividend to 30 and continue with: 305 / 86

Step 6:
The number 86 fits into 305 3 times, leaving a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 1323.0
Subtract 258 from 305 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 7:
The number 86 fits into 470 5 times, leaving a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 1323.5
If we subtract 430 from 470, 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.

Moving on to step 8:
86 can be fit into 400 4 times, resulting in a remainder of 56.
The next digit of our result is 4. 
Result so far: 1323.54
If we take 344 away from 400, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 9:
When dividing 560 by 86, we get 6 with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 1323.546
Subtracting 516 from 560 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 10:
If we divide 440 by 86, we get 5 and a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 1323.5465
Deduct 430 from 440 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
When dividing 100 by 86, we get 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1323.54651
Subtracting 86 from 100 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 12:
140 divided by 86 is 1 with a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 1323.546511
The remainder is 54 after subtracting 86 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final outcome is 1323.546511, with a leftover of 5.4e-06.