35553611 ÷ 959 
Let's see how many times 959 fits into 35553611.

Advancing to step 1:
3 divided by 959 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 959

Advancing to step 2:
35 divided by 959 is 0 with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Take the next digit (5) from the dividend and append it to 35, then repeat: 355 / 959

Advancing to step 3:
355 divided by 959 is 0 with a remainder of 355.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 355 and we're left with 355.
Include the next digit (5) from the dividend after 355, then repeat: 3555 / 959

Step 4:
When dividing 3555 by 959, we get 3 with a remainder of 678.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 2877 from 3555 leaves us with 678.
Fetch the next digit (3) from the dividend, attach it to 678 and continue: 6783 / 959

Step 5:
959 can be fit into 6783 7 times, resulting in a remainder of 70.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
If we subtract 6713 from 6783, we get 70.
Fetch the next digit (6) from the dividend, attach it to 70 and continue: 706 / 959

Step 6:
706 divided by 959 is 0 with a remainder of 706.
Write down 0 as next digit of the result. 
Result so far: 370.0
Deduct 0 from 706 and we're left with 706.
Take the next digit (1) from the dividend and append it to 706, then repeat: 7061 / 959

Let's proceed to step 7:
959 can be fit into 7061 7 times, resulting in a remainder of 348.
The number 7 becomes the next digit in our result. 
Result so far: 3707.0
If we take 6713 away from 7061, we end up with 348.
Bring next digit (1) of the dividend behind the 348 and repeat the process: 3481 / 959

Advancing to step 8:
When dividing 3481 by 959, we get 3 with a remainder of 604.
Put 3 as the next digit of the answer. 
Result so far: 37073.0
The remainder is 604 after subtracting 2877 from 3481.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6040, and continue the process.

Moving on to step 9:
If we divide 6040 by 959, we get 6 and a remainder of 286.
Put 6 as the next digit of the answer. 
Result so far: 37073.6
Subtract 5754 from 6040 to get 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

On to step 10:
The number 959 fits into 2860 2 times, leaving a remainder of 942.
Write down 2 as next digit of the result. 
Result so far: 37073.62
Deduct 1918 from 2860 and we're left with 942.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9420, and continue the process.

Step 11:
9420 divided by 959 is 9 with a remainder of 789.
The next digit of our result is 9. 
Result so far: 37073.629
The remainder is 789 after subtracting 8631 from 9420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7890, and continue the process.

Step 12:
959 goes into 7890 8 times with a remainder of 218.
Put 8 as the next digit of the answer. 
Result so far: 37073.6298
Deduct 7672 from 7890 and we're left with 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Moving on to step 13:
959 can be fit into 2180 2 times, resulting in a remainder of 262.
The number 2 becomes the next digit in our result. 
Result so far: 37073.62982
The remainder is 262 after subtracting 1918 from 2180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

Step 14:
The number 959 fits into 2620 2 times, leaving a remainder of 702.
The number 2 becomes the next digit in our result. 
Result so far: 37073.629822
Deduct 1918 from 2620 and we're left with 702.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7020, and continue the process.

After the division, we end up with 37073.629822 and a remainder of 7.02e-05.