We look at the division of 6948 by 59 
We want to divide 6948 by 59.

On to step 1:
59 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 59

Let's proceed to step 2:
The number 59 fits into 69 1 times, leaving a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 10 after subtracting 59 from 69.
Bring next digit (4) of the dividend behind the 10 and repeat the process: 104 / 59

Let's proceed to step 3:
If we divide 104 by 59, we get 1 and a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 59 from 104 to get 45.
Take the next digit (8) from the dividend and append it to 45, then repeat: 458 / 59

Moving on to step 4:
59 can be fit into 458 7 times, resulting in a remainder of 45.
The next digit of our result is 7. 
Result so far: 117.0
The remainder is 45 after subtracting 413 from 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 5:
If we divide 450 by 59, we get 7 and a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 117.7
Deduct 413 from 450 and we're left 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.

Let's proceed to step 6:
The number 59 fits into 370 6 times, leaving a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 117.76
If we take 354 away from 370, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
59 can be fit into 160 2 times, resulting in a remainder of 42.
Write down 2 as next digit of the result. 
Result so far: 117.762
Subtract 118 from 160 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 8:
420 divided by 59 is 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 117.7627
Deduct 413 from 420 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
59 goes into 70 1 times with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 117.76271
The remainder is 11 after subtracting 59 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 10:
59 goes into 110 1 times with a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 117.762711
The remainder is 51 after subtracting 59 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

After the division, we end up with 117.762711 and a remainder of 5.1e-06.