142111 ÷ 91 
We want to figure out the number of times 142111 can be divided by 91.

Step 1:
If we divide 1 by 91, we get 0 and 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.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 91

On to step 2:
14 divided by 91 is 0 with a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 91

Moving on to step 3:
142 divided by 91 is 1 with a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 51 after subtracting 91 from 142.
Append the next digit (1) from the dividend to 51 and continue with: 511 / 91

Step 4:
If we divide 511 by 91, we get 5 and a remainder of 56.
Write down 5 as next digit of the result. 
Result so far: 15.0
Subtracting 455 from 511 leaves us with 56.
Append the next digit (1) from the dividend to 56 and continue with: 561 / 91

Let's proceed to step 5:
If we divide 561 by 91, we get 6 and a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 156.0
The remainder is 15 after subtracting 546 from 561.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 91

Going ahead to step 6:
When dividing 151 by 91, we get 1 with a remainder of 60.
Use 1 as the next digit of our solution. 
Result so far: 1561.0
If we take 91 away from 151, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 7:
The number 91 fits into 600 6 times, leaving a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 1561.6
If we subtract 546 from 600, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 8:
91 goes into 540 5 times with a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 1561.65
Deduct 455 from 540 and we're left with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Step 9:
The number 91 fits into 850 9 times, leaving a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 1561.659
If we subtract 819 from 850, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 10:
310 divided by 91 is 3 with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 1561.6593
Subtracting 273 from 310 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 11:
91 goes into 370 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 1561.65934
Subtracting 364 from 370 leaves us 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.

Advancing to step 12:
If we divide 60 by 91, we get 0 and a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 1561.65934
Subtract 0 from 60 to 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 13:
If we divide 600 by 91, we get 6 and a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 1561.6593406
The remainder is 54 after subtracting 546 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 14:
If we divide 540 by 91, we get 5 and a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 1561.65934065
If we take 455 away from 540, we end up with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

The quotient of the division is 1561.65934065, and the remainder is 8.5e-08.