We're dividing 13922 by 37 
We're looking to find how many times 37 goes into 13922.

Step 1:
When dividing 1 by 37, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 37

Going ahead to step 2:
If we divide 13 by 37, we get 0 and a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 37

Step 3:
If we divide 139 by 37, we get 3 and a remainder of 28.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 111 from 139 and we're left with 28.
Bring next digit (2) of the dividend behind the 28 and repeat the process: 282 / 37

Advancing to step 4:
The number 37 fits into 282 7 times, leaving a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 37.0
Subtracting 259 from 282 leaves us with 23.
Fetch the next digit (2) from the dividend, attach it to 23 and continue: 232 / 37

Advancing to step 5:
232 divided by 37 is 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 376.0
If we take 222 away from 232, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 6:
37 can be fit into 100 2 times, resulting in a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 376.2
Subtract 74 from 100 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
The number 37 fits into 260 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 376.27
The remainder is 1 after subtracting 259 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
37 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 376.27
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
100 divided by 37 is 2 with a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 376.2702
The remainder is 26 after subtracting 74 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 10:
The number 37 fits into 260 7 times, leaving a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 376.27027
Deduct 259 from 260 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
When dividing 10 by 37, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 376.27027
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
The number 37 fits into 100 2 times, leaving a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 376.2702702
Subtracting 74 from 100 leaves us 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.

On to step 13:
37 can be fit into 260 7 times, resulting in a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 376.27027027
Deduct 259 from 260 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 376.27027027 with a remaining 1e-09.