We're dividing 5407340 by 959 
We're looking to find how many times 959 goes into 5407340.

Advancing to step 1:
959 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 959

Moving on to step 2:
959 can be fit into 54 0 times, resulting in a remainder of 54.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 54, we get 54.
Bring next digit (0) of the dividend behind the 54 and repeat the process: 540 / 959

Let's proceed to step 3:
959 can be fit into 540 0 times, resulting in a remainder of 540.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 540 after subtracting 0 from 540.
Include the next digit (7) from the dividend after 540, then repeat: 5407 / 959

On to step 4:
959 can be fit into 5407 5 times, resulting in a remainder of 612.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 4795 from 5407 to get 612.
Fetch the next digit (3) from the dividend, attach it to 612 and continue: 6123 / 959

Moving on to step 5:
The number 959 fits into 6123 6 times, leaving a remainder of 369.
The next digit of our result is 6. 
Result so far: 56.0
Deduct 5754 from 6123 and we're left with 369.
Append the next digit (4) from the dividend to 369 and continue with: 3694 / 959

Advancing to step 6:
3694 divided by 959 is 3 with a remainder of 817.
The number 3 becomes the next digit in our result. 
Result so far: 563.0
Subtracting 2877 from 3694 leaves us with 817.
Take the next digit (0) from the dividend and append it to 817, then repeat: 8170 / 959

Moving on to step 7:
959 can be fit into 8170 8 times, resulting in a remainder of 498.
Put 8 as the next digit of the answer. 
Result so far: 5638.0
If we subtract 7672 from 8170, we get 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

Moving on to step 8:
959 can be fit into 4980 5 times, resulting in a remainder of 185.
Put 5 as the next digit of the answer. 
Result so far: 5638.5
Subtracting 4795 from 4980 leaves us with 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

Let's proceed to step 9:
When dividing 1850 by 959, we get 1 with a remainder of 891.
The number 1 becomes the next digit in our result. 
Result so far: 5638.51
Subtracting 959 from 1850 leaves us with 891.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8910, and continue the process.

Step 10:
The number 959 fits into 8910 9 times, leaving a remainder of 279.
Record the quotient 9 as the next digit in the result. 
Result so far: 5638.519
Subtracting 8631 from 8910 leaves us with 279.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2790, and continue the process.

Advancing to step 11:
The number 959 fits into 2790 2 times, leaving a remainder of 872.
Write down 2 as next digit of the result. 
Result so far: 5638.5192
If we take 1918 away from 2790, we end up with 872.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8720, and continue the process.

Let's proceed to step 12:
8720 divided by 959 is 9 with a remainder of 89.
The number 9 becomes the next digit in our result. 
Result so far: 5638.51929
If we subtract 8631 from 8720, we get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Step 13:
The number 959 fits into 890 0 times, leaving a remainder of 890.
The next digit of our result is 0. 
Result so far: 5638.51929
Deduct 0 from 890 and we're left with 890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8900, and continue the process.

Let's proceed to step 14:
8900 divided by 959 is 9 with a remainder of 269.
Use 9 as the next digit of our solution. 
Result so far: 5638.5192909
If we subtract 8631 from 8900, we get 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2690, and continue the process.

Advancing to step 15:
959 goes into 2690 2 times with a remainder of 772.
The next digit of our result is 2. 
Result so far: 5638.51929092
Subtract 1918 from 2690 to get 772.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7720, and continue the process.

In conclusion, the division gives 5638.51929092 with a balance of 7.72e-07.