260969 ÷ 37 
We want to figure out the number of times 260969 can be divided by 37.

On to step 1:
37 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 37

Going ahead to step 2:
The number 37 fits into 26 0 times, leaving a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Bring next digit (0) of the dividend behind the 26 and repeat the process: 260 / 37

Advancing to step 3:
260 divided by 37 is 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 259 away from 260, we end up with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 37

On to step 4:
The number 37 fits into 19 0 times, leaving a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 70.0
Subtracting 0 from 19 leaves us with 19.
Bring next digit (6) of the dividend behind the 19 and repeat the process: 196 / 37

Going ahead to step 5:
If we divide 196 by 37, we get 5 and a remainder of 11.
The next digit of our result is 5. 
Result so far: 705.0
If we take 185 away from 196, we end up with 11.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 37

On to step 6:
37 can be fit into 119 3 times, resulting in a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 7053.0
Subtracting 111 from 119 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
80 divided by 37 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 7053.2
If we subtract 74 from 80, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
The number 37 fits into 60 1 times, leaving a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 7053.21
If we subtract 37 from 60, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 9:
The number 37 fits into 230 6 times, leaving a remainder of 8.
The next digit of our result is 6. 
Result so far: 7053.216
If we subtract 222 from 230, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
The number 37 fits into 80 2 times, leaving a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 7053.2162
Subtracting 74 from 80 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
The number 37 fits into 60 1 times, leaving a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 7053.21621
Subtract 37 from 60 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 12:
230 divided by 37 is 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 7053.216216
If we take 222 away from 230, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
37 can be fit into 80 2 times, resulting in a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 7053.2162162
Deduct 74 from 80 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 14:
37 goes into 60 1 times with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 7053.21621621
Subtracting 37 from 60 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

In conclusion, the division gives 7053.21621621 with a balance of 2.3e-08.