We're dividing 106267 by 61 
We want to divide 106267 by 61.

Moving on to step 1:
1 divided by 61 is 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.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 61

Moving on to step 2:
The number 61 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 61

Let's proceed to step 3:
If we divide 106 by 61, we get 1 and a remainder of 45.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 61 from 106 and we're left with 45.
Include the next digit (2) from the dividend after 45, then repeat: 452 / 61

Let's proceed to step 4:
If we divide 452 by 61, we get 7 and a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
If we take 427 away from 452, we end up with 25.
Take the next digit (6) from the dividend and append it to 25, then repeat: 256 / 61

Moving on to step 5:
61 goes into 256 4 times with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 174.0
Subtract 244 from 256 to get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 61

Advancing to step 6:
The number 61 fits into 127 2 times, leaving a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 1742.0
Deduct 122 from 127 and we're left with 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 7:
50 divided by 61 is 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 1742.0
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
61 can be fit into 500 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1742.08
If we take 488 away from 500, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
The number 61 fits into 120 1 times, leaving a remainder of 59.
The number 1 becomes the next digit in our result. 
Result so far: 1742.081
Subtract 61 from 120 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 10:
590 divided by 61 is 9 with a remainder of 41.
The next digit of our result is 9. 
Result so far: 1742.0819
If we take 549 away from 590, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 11:
The number 61 fits into 410 6 times, leaving a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 1742.08196
Deduct 366 from 410 and we're left 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.

On to step 12:
61 can be fit into 440 7 times, resulting in a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 1742.081967
Subtract 427 from 440 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 13:
130 divided by 61 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1742.0819672
If we take 122 away from 130, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
80 divided by 61 is 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1742.08196721
If we subtract 61 from 80, we 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.

The final result is 1742.08196721 with a remainder of 1.9e-08.