135434 divided by 37 
Our goal is to divide 135434 by 37.

Advancing to step 1:
The number 37 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
If we subtract 0 from 1, we get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 37

On to step 2:
When dividing 13 by 37, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 37

Let's proceed to step 3:
When dividing 135 by 37, we get 3 with a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 111 from 135 to get 24.
Take the next digit (4) from the dividend and append it to 24, then repeat: 244 / 37

Advancing to step 4:
37 goes into 244 6 times with a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 36.0
The remainder is 22 after subtracting 222 from 244.
Grab the next digit (3) from the dividend, add it to 22, then carry on: 223 / 37

Advancing to step 5:
When dividing 223 by 37, we get 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 366.0
Subtract 222 from 223 to get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 37

Going ahead to step 6:
When dividing 14 by 37, we get 0 with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 3660.0
If we subtract 0 from 14, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
140 divided by 37 is 3 with a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 3660.3
Subtracting 111 from 140 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 8:
37 goes into 290 7 times with a remainder of 31.
The next digit of our result is 7. 
Result so far: 3660.37
If we take 259 away from 290, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 9:
310 divided by 37 is 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 3660.378
Subtracting 296 from 310 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 10:
140 divided by 37 is 3 with a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 3660.3783
Subtract 111 from 140 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 11:
290 divided by 37 is 7 with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 3660.37837
If we subtract 259 from 290, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 12:
When dividing 310 by 37, we get 8 with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 3660.378378
Subtracting 296 from 310 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 13:
140 divided by 37 is 3 with a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 3660.3783783
Deduct 111 from 140 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 14:
37 can be fit into 290 7 times, resulting in a remainder of 31.
The next digit of our result is 7. 
Result so far: 3660.37837837
Subtract 259 from 290 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The quotient of the division is 3660.37837837, and the remainder is 3.1e-08.