261106 divided by 37 
Our goal is to divide 261106 by 37.

Moving on to step 1:
37 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 37

Advancing to step 2:
If we divide 26 by 37, we get 0 and a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Append the next digit (1) from the dividend to 26 and continue with: 261 / 37

Step 3:
37 goes into 261 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 259 from 261 leaves us with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 37

Advancing to step 4:
The number 37 fits into 21 0 times, leaving a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
Subtracting 0 from 21 leaves us with 21.
Include the next digit (0) from the dividend after 21, then repeat: 210 / 37

Let's proceed to step 5:
37 goes into 210 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 705.0
If we take 185 away from 210, we end up with 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 37

Going ahead to step 6:
37 can be fit into 256 6 times, resulting in a remainder of 34.
The next digit of our result is 6. 
Result so far: 7056.0
Subtract 222 from 256 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
340 divided by 37 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 7056.9
Deduct 333 from 340 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
When dividing 70 by 37, we get 1 with a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 7056.91
Subtract 37 from 70 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 9:
When dividing 330 by 37, we get 8 with a remainder of 34.
The next digit of our result is 8. 
Result so far: 7056.918
The remainder is 34 after subtracting 296 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 10:
The number 37 fits into 340 9 times, leaving a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 7056.9189
The remainder is 7 after subtracting 333 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
37 goes into 70 1 times with a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 7056.91891
Subtracting 37 from 70 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 12:
If we divide 330 by 37, we get 8 and a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 7056.918918
The remainder is 34 after subtracting 296 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 13:
37 can be fit into 340 9 times, resulting in a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 7056.9189189
Subtract 333 from 340 to 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.

On to step 14:
When dividing 70 by 37, we get 1 with a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 7056.91891891
Subtract 37 from 70 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

After the division, we end up with 7056.91891891 and a remainder of 3.3e-08.