601958 ÷ 7 
Our goal is to divide 601958 by 7.

Going ahead to step 1:
When dividing 6 by 7, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 7

Going ahead to step 2:
60 divided by 7 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 56 from 60 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 7

Going ahead to step 3:
The number 7 fits into 41 5 times, leaving a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
If we take 35 away from 41, we end up with 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 7

On to step 4:
The number 7 fits into 69 9 times, leaving a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 859.0
The remainder is 6 after subtracting 63 from 69.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 7

Let's proceed to step 5:
65 divided by 7 is 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 8599.0
If we take 63 away from 65, we end up with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 7

Going ahead to step 6:
7 can be fit into 28 4 times, resulting in a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 85994.0
Subtracting 28 from 28 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
7 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 85994.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
7 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 85994.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 85994.0 with a balance of 0.0.