We divide 601414 by 7
We want to divide 601414 by 7.

On to step 1:
7 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 7

Step 2:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we take 56 away from 60, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 7

Step 3:
The number 7 fits into 41 5 times, leaving a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
The remainder is 6 after subtracting 35 from 41.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 7

On to step 4:
When dividing 64 by 7, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 859.0
If we subtract 63 from 64, we get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 7

Moving on to step 5:
When dividing 11 by 7, we get 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 8591.0
If we take 7 away from 11, we end up with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 7

Going ahead to step 6:
44 divided by 7 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 85916.0
Deduct 42 from 44 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
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: 85916.2
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 8:
7 goes into 60 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 85916.28
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 9:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 85916.285
If we subtract 35 from 40, we 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.

Advancing to step 10:
When dividing 50 by 7, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 85916.2857
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.

Going ahead to step 11:
When dividing 10 by 7, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 85916.28571
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
The number 7 fits into 30 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 85916.285714
If we subtract 28 from 30, we 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.

Advancing to step 13:
20 divided by 7 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 85916.2857142
Deduct 14 from 20 and we're left 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.

Let's proceed to step 14:
When dividing 60 by 7, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 85916.28571428
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.

In conclusion, the division gives 85916.28571428 with a balance of 4e-09.