We're dividing 1435226 by 959 
We're looking to find how many times 959 goes into 1435226.

Step 1:
1 divided by 959 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 959

Step 2:
959 can be fit into 14 0 times, resulting in a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 959

Advancing to step 3:
959 goes into 143 0 times with a remainder of 143.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 143 to get 143.
Grab the next digit (5) from the dividend, add it to 143, then carry on: 1435 / 959

Moving on to step 4:
If we divide 1435 by 959, we get 1 and a remainder of 476.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 959 from 1435, we get 476.
Take the next digit (2) from the dividend and append it to 476, then repeat: 4762 / 959

Moving on to step 5:
When dividing 4762 by 959, we get 4 with a remainder of 926.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Deduct 3836 from 4762 and we're left with 926.
Grab the next digit (2) from the dividend, add it to 926, then carry on: 9262 / 959

Step 6:
9262 divided by 959 is 9 with a remainder of 631.
The number 9 becomes the next digit in our result. 
Result so far: 149.0
The remainder is 631 after subtracting 8631 from 9262.
Bring next digit (6) of the dividend behind the 631 and repeat the process: 6316 / 959

Let's proceed to step 7:
When dividing 6316 by 959, we get 6 with a remainder of 562.
The next digit of our result is 6. 
Result so far: 1496.0
If we subtract 5754 from 6316, we get 562.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

On to step 8:
The number 959 fits into 5620 5 times, leaving a remainder of 825.
The number 5 becomes the next digit in our result. 
Result so far: 1496.5
The remainder is 825 after subtracting 4795 from 5620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8250, and continue the process.

On to step 9:
The number 959 fits into 8250 8 times, leaving a remainder of 578.
The next digit of our result is 8. 
Result so far: 1496.58
If we subtract 7672 from 8250, we get 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Moving on to step 10:
If we divide 5780 by 959, we get 6 and a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 1496.586
Deduct 5754 from 5780 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
959 can be fit into 260 0 times, resulting in a remainder of 260.
The next digit of our result is 0. 
Result so far: 1496.586
Deduct 0 from 260 and we're left with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Going ahead to step 12:
2600 divided by 959 is 2 with a remainder of 682.
Write down 2 as next digit of the result. 
Result so far: 1496.58602
Subtracting 1918 from 2600 leaves us with 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6820, and continue the process.

Going ahead to step 13:
6820 divided by 959 is 7 with a remainder of 107.
The number 7 becomes the next digit in our result. 
Result so far: 1496.586027
Subtracting 6713 from 6820 leaves us with 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

On to step 14:
959 goes into 1070 1 times with a remainder of 111.
Write down 1 as next digit of the result. 
Result so far: 1496.5860271
If we subtract 959 from 1070, we get 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

Advancing to step 15:
959 goes into 1110 1 times with a remainder of 151.
Put 1 as the next digit of the answer. 
Result so far: 1496.58602711
Deduct 959 from 1110 and we're left with 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

Our division results in 1496.58602711 with a remaining 1.51e-07.