106089 divided by 83 
We want to divide 106089 by 83.

On to step 1:
1 divided by 83 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 83

Step 2:
83 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 83

Step 3:
106 divided by 83 is 1 with a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 83 from 106 and we're left with 23.
Include the next digit (0) from the dividend after 23, then repeat: 230 / 83

On to step 4:
When dividing 230 by 83, we get 2 with a remainder of 64.
The next digit of our result is 2. 
Result so far: 12.0
If we take 166 away from 230, we end up with 64.
Fetch the next digit (8) from the dividend, attach it to 64 and continue: 648 / 83

Going ahead to step 5:
When dividing 648 by 83, we get 7 with a remainder of 67.
Record the quotient 7 as the next digit in the result. 
Result so far: 127.0
If we subtract 581 from 648, we get 67.
Fetch the next digit (9) from the dividend, attach it to 67 and continue: 679 / 83

Moving on to step 6:
The number 83 fits into 679 8 times, leaving a remainder of 15.
Put 8 as the next digit of the answer. 
Result so far: 1278.0
If we take 664 away from 679, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
If we divide 150 by 83, we get 1 and a remainder of 67.
The next digit of our result is 1. 
Result so far: 1278.1
Deduct 83 from 150 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 8:
83 goes into 670 8 times with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 1278.18
Deduct 664 from 670 and we're left 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.

Moving on to step 9:
If we divide 60 by 83, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 1278.18
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 10:
The number 83 fits into 600 7 times, leaving a remainder of 19.
The next digit of our result is 7. 
Result so far: 1278.1807
Subtract 581 from 600 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 11:
190 divided by 83 is 2 with a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 1278.18072
If we subtract 166 from 190, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
83 goes into 240 2 times with a remainder of 74.
The next digit of our result is 2. 
Result so far: 1278.180722
Subtracting 166 from 240 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

After the division, we end up with 1278.180722 and a remainder of 7.4e-06.