106671 divided by 91 
We're looking to find how many times 91 goes into 106671.

On to step 1:
91 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 91

Advancing to step 2:
If we divide 10 by 91, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 91

Moving on to step 3:
The number 91 fits into 106 1 times, leaving a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 91 from 106 to get 15.
Include the next digit (6) from the dividend after 15, then repeat: 156 / 91

On to step 4:
When dividing 156 by 91, we get 1 with a remainder of 65.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 91 from 156 to get 65.
Fetch the next digit (7) from the dividend, attach it to 65 and continue: 657 / 91

Going ahead to step 5:
When dividing 657 by 91, we get 7 with a remainder of 20.
The next digit of our result is 7. 
Result so far: 117.0
Subtracting 637 from 657 leaves us with 20.
Append the next digit (1) from the dividend to 20 and continue with: 201 / 91

Let's proceed to step 6:
91 can be fit into 201 2 times, resulting in a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 1172.0
Subtracting 182 from 201 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
The number 91 fits into 190 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 1172.2
Deduct 182 from 190 and we're left 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 8:
91 goes into 80 0 times with a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 1172.2
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 9:
When dividing 800 by 91, we get 8 with a remainder of 72.
Put 8 as the next digit of the answer. 
Result so far: 1172.208
If we take 728 away from 800, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 10:
When dividing 720 by 91, we get 7 with a remainder of 83.
The next digit of our result is 7. 
Result so far: 1172.2087
Deduct 637 from 720 and we're left with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Step 11:
91 goes into 830 9 times with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 1172.20879
If we take 819 away from 830, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 12:
When dividing 110 by 91, we get 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1172.208791
Subtracting 91 from 110 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 13:
190 divided by 91 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 1172.2087912
If we subtract 182 from 190, we get 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:
91 goes into 80 0 times with a remainder of 80.
The next digit of our result is 0. 
Result so far: 1172.2087912
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The quotient of the division is 1172.2087912, and the remainder is 8e-08.