343908 ÷ 37 
We're looking to find how many times 37 goes into 343908.

Advancing to step 1:
When dividing 3 by 37, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 37

On to step 2:
37 goes into 34 0 times with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Grab the next digit (3) from the dividend, add it to 34, then carry on: 343 / 37

Moving on to step 3:
37 can be fit into 343 9 times, resulting in a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we take 333 away from 343, we end up with 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 37

Step 4:
37 can be fit into 109 2 times, resulting in a remainder of 35.
Put 2 as the next digit of the answer. 
Result so far: 92.0
Deduct 74 from 109 and we're left with 35.
Append the next digit (0) from the dividend to 35 and continue with: 350 / 37

Going ahead to step 5:
The number 37 fits into 350 9 times, leaving a remainder of 17.
The next digit of our result is 9. 
Result so far: 929.0
If we subtract 333 from 350, we get 17.
Include the next digit (8) from the dividend after 17, then repeat: 178 / 37

Going ahead to step 6:
178 divided by 37 is 4 with a remainder of 30.
Put 4 as the next digit of the answer. 
Result so far: 9294.0
Deduct 148 from 178 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
The number 37 fits into 300 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 9294.8
Subtracting 296 from 300 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
37 can be fit into 40 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 9294.81
The remainder is 3 after subtracting 37 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 9:
30 divided by 37 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 9294.81
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 10:
When dividing 300 by 37, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 9294.8108
Subtract 296 from 300 to 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.

Going ahead to step 11:
When dividing 40 by 37, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 9294.81081
Subtract 37 from 40 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 12:
When dividing 30 by 37, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 9294.81081
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
When dividing 300 by 37, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 9294.8108108
Deduct 296 from 300 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
The number 37 fits into 40 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 9294.81081081
Subtract 37 from 40 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 9294.81081081 and a remainder of 3e-09.