100671 ÷ 87 
We want to figure out the number of times 100671 can be divided by 87.

Going ahead to step 1:
87 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 87

Step 2:
If we divide 10 by 87, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 87

Let's proceed to step 3:
87 can be fit into 100 1 times, resulting in a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 13 after subtracting 87 from 100.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 87

Let's proceed to step 4:
The number 87 fits into 136 1 times, leaving a remainder of 49.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 87 from 136, we get 49.
Append the next digit (7) from the dividend to 49 and continue with: 497 / 87

Advancing to step 5:
When dividing 497 by 87, we get 5 with a remainder of 62.
Put 5 as the next digit of the answer. 
Result so far: 115.0
Subtracting 435 from 497 leaves us with 62.
Include the next digit (1) from the dividend after 62, then repeat: 621 / 87

Advancing to step 6:
When dividing 621 by 87, we get 7 with a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 1157.0
Deduct 609 from 621 and we're left 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.

Let's proceed to step 7:
120 divided by 87 is 1 with a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 1157.1
Deduct 87 from 120 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 8:
The number 87 fits into 330 3 times, leaving a remainder of 69.
The next digit of our result is 3. 
Result so far: 1157.13
Deduct 261 from 330 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Moving on to step 9:
When dividing 690 by 87, we get 7 with a remainder of 81.
Put 7 as the next digit of the answer. 
Result so far: 1157.137
If we subtract 609 from 690, we get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Going ahead to step 10:
87 can be fit into 810 9 times, resulting in a remainder of 27.
Put 9 as the next digit of the answer. 
Result so far: 1157.1379
If we take 783 away from 810, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 11:
270 divided by 87 is 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 1157.13793
Subtract 261 from 270 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 12:
The number 87 fits into 90 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 1157.137931
Subtracting 87 from 90 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 13:
When dividing 30 by 87, we get 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 1157.137931
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 14:
The number 87 fits into 300 3 times, leaving a remainder of 39.
The next digit of our result is 3. 
Result so far: 1157.13793103
Subtracting 261 from 300 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Our division results in 1157.13793103 with a remaining 3.9e-08.