968674 ÷ 37 
Our goal is to divide 968674 by 37.

On to step 1:
If we divide 9 by 37, we get 0 and a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 37

Step 2:
If we divide 96 by 37, we get 2 and a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 74 away from 96, we end up with 22.
Fetch the next digit (8) from the dividend, attach it to 22 and continue: 228 / 37

Going ahead to step 3:
If we divide 228 by 37, we get 6 and a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 26.0
The remainder is 6 after subtracting 222 from 228.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 37

Step 4:
37 goes into 66 1 times with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 261.0
If we take 37 away from 66, we end up with 29.
Append the next digit (7) from the dividend to 29 and continue with: 297 / 37

On to step 5:
If we divide 297 by 37, we get 8 and a remainder of 1.
The next digit of our result is 8. 
Result so far: 2618.0
Subtracting 296 from 297 leaves us with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 37

Step 6:
37 goes into 14 0 times with a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 26180.0
Subtract 0 from 14 to 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.

Moving on to step 7:
140 divided by 37 is 3 with a remainder of 29.
Put 3 as the next digit of the answer. 
Result so far: 26180.3
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.

Let's proceed to step 8:
When dividing 290 by 37, we get 7 with a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 26180.37
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.

Let's proceed to step 9:
The number 37 fits into 310 8 times, leaving a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 26180.378
If we take 296 away from 310, we end up 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.

Step 10:
37 can be fit into 140 3 times, resulting in a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 26180.3783
If we take 111 away from 140, we end up 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.

Let's proceed to step 11:
If we divide 290 by 37, we get 7 and a remainder of 31.
The next digit of our result is 7. 
Result so far: 26180.37837
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.

On to step 12:
37 goes into 310 8 times with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 26180.378378
The remainder is 14 after subtracting 296 from 310.
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 13:
The number 37 fits into 140 3 times, leaving a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 26180.3783783
If we subtract 111 from 140, we 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.

Advancing to step 14:
The number 37 fits into 290 7 times, leaving a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 26180.37837837
Deduct 259 from 290 and we're left 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.

Our division results in 26180.37837837 with a remaining 3.1e-08.