213541 divided by 7 
We want to figure out the number of times 213541 can be divided by 7.

Let's proceed to step 1:
7 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 7

Let's proceed to step 2:
If we divide 21 by 7, we get 3 and a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 0 after subtracting 21 from 21.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 7

Let's proceed to step 3:
If we divide 3 by 7, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 30.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 7

Advancing to step 4:
If we divide 35 by 7, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 305.0
Subtracting 35 from 35 leaves us with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 7

Going ahead to step 5:
The number 7 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 3050.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 7

Let's proceed to step 6:
When dividing 41 by 7, we get 5 with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 30505.0
Subtract 35 from 41 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 30505.8
If we take 56 away from 60, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 30505.85
Subtract 35 from 40 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 30505.857
Subtracting 49 from 50 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
10 divided by 7 is 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 30505.8571
Subtracting 7 from 10 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.

Moving on to step 11:
When dividing 30 by 7, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 30505.85714
Subtract 28 from 30 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
When dividing 20 by 7, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 30505.857142
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
7 goes into 60 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 30505.8571428
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
When dividing 40 by 7, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 30505.85714285
Subtract 35 from 40 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 30505.85714285 with a remaining 5e-09.