31435102 ÷ 159 
We're looking to find how many times 159 goes into 31435102.

Advancing to step 1:
When dividing 3 by 159, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 159

Let's proceed to step 2:
If we divide 31 by 159, we get 0 and a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 31 leaves us with 31.
Take the next digit (4) from the dividend and append it to 31, then repeat: 314 / 159

Going ahead to step 3:
If we divide 314 by 159, we get 1 and a remainder of 155.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 159 from 314, we get 155.
Append the next digit (3) from the dividend to 155 and continue with: 1553 / 159

On to step 4:
The number 159 fits into 1553 9 times, leaving a remainder of 122.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
The remainder is 122 after subtracting 1431 from 1553.
Take the next digit (5) from the dividend and append it to 122, then repeat: 1225 / 159

On to step 5:
159 can be fit into 1225 7 times, resulting in a remainder of 112.
Use 7 as the next digit of our solution. 
Result so far: 197.0
If we subtract 1113 from 1225, we get 112.
Fetch the next digit (1) from the dividend, attach it to 112 and continue: 1121 / 159

Let's proceed to step 6:
When dividing 1121 by 159, we get 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 1977.0
If we take 1113 away from 1121, we end up with 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 159

Let's proceed to step 7:
If we divide 80 by 159, we get 0 and a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 19770.0
Deduct 0 from 80 and we're left with 80.
Fetch the next digit (2) from the dividend, attach it to 80 and continue: 802 / 159

Advancing to step 8:
The number 159 fits into 802 5 times, leaving a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 197705.0
If we subtract 795 from 802, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
159 can be fit into 70 0 times, resulting in a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 197705.0
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 10:
If we divide 700 by 159, we get 4 and a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 197705.04
Subtract 636 from 700 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 11:
159 can be fit into 640 4 times, resulting in a remainder of 4.
The next digit of our result is 4. 
Result so far: 197705.044
If we subtract 636 from 640, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 197705.044, and the remainder is 0.0004.