We're dividing 17735444 by 959 
We're looking to find how many times 959 goes into 17735444.

Step 1:
The number 959 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 959

Going ahead to step 2:
17 divided by 959 is 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Bring next digit (7) of the dividend behind the 17 and repeat the process: 177 / 959

Step 3:
If we divide 177 by 959, we get 0 and a remainder of 177.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 177 to get 177.
Fetch the next digit (3) from the dividend, attach it to 177 and continue: 1773 / 959

On to step 4:
1773 divided by 959 is 1 with a remainder of 814.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 959 from 1773 to get 814.
Fetch the next digit (5) from the dividend, attach it to 814 and continue: 8145 / 959

Advancing to step 5:
If we divide 8145 by 959, we get 8 and a remainder of 473.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
If we subtract 7672 from 8145, we get 473.
Bring next digit (4) of the dividend behind the 473 and repeat the process: 4734 / 959

Going ahead to step 6:
4734 divided by 959 is 4 with a remainder of 898.
Record the quotient 4 as the next digit in the result. 
Result so far: 184.0
Subtract 3836 from 4734 to get 898.
Bring next digit (4) of the dividend behind the 898 and repeat the process: 8984 / 959

Let's proceed to step 7:
959 can be fit into 8984 9 times, resulting in a remainder of 353.
The number 9 becomes the next digit in our result. 
Result so far: 1849.0
Subtract 8631 from 8984 to get 353.
Bring next digit (4) of the dividend behind the 353 and repeat the process: 3534 / 959

Going ahead to step 8:
959 goes into 3534 3 times with a remainder of 657.
Use 3 as the next digit of our solution. 
Result so far: 18493.0
Subtract 2877 from 3534 to get 657.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6570, and continue the process.

Step 9:
959 can be fit into 6570 6 times, resulting in a remainder of 816.
Use 6 as the next digit of our solution. 
Result so far: 18493.6
Subtracting 5754 from 6570 leaves us with 816.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8160, and continue the process.

Step 10:
8160 divided by 959 is 8 with a remainder of 488.
Use 8 as the next digit of our solution. 
Result so far: 18493.68
If we take 7672 away from 8160, we end up with 488.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4880, and continue the process.

On to step 11:
When dividing 4880 by 959, we get 5 with a remainder of 85.
Record the quotient 5 as the next digit in the result. 
Result so far: 18493.685
Deduct 4795 from 4880 and we're left with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Moving on to step 12:
959 can be fit into 850 0 times, resulting in a remainder of 850.
The number 0 becomes the next digit in our result. 
Result so far: 18493.685
Deduct 0 from 850 and we're left with 850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8500, and continue the process.

Step 13:
When dividing 8500 by 959, we get 8 with a remainder of 828.
Write down 8 as next digit of the result. 
Result so far: 18493.68508
Subtracting 7672 from 8500 leaves us with 828.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8280, and continue the process.

Step 14:
The number 959 fits into 8280 8 times, leaving a remainder of 608.
Use 8 as the next digit of our solution. 
Result so far: 18493.685088
Deduct 7672 from 8280 and we're left with 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

The final outcome is 18493.685088, with a leftover of 6.08e-05.