We divide 789674 by 86
We want to figure out the number of times 789674 can be divided by 86.

Step 1:
When dividing 7 by 86, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 86

On to step 2:
78 divided by 86 is 0 with a remainder of 78.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 78 leaves us with 78.
Grab the next digit (9) from the dividend, add it to 78, then carry on: 789 / 86

On to step 3:
If we divide 789 by 86, we get 9 and a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 9.0
Deduct 774 from 789 and we're left with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 86

Going ahead to step 4:
156 divided by 86 is 1 with a remainder of 70.
The number 1 becomes the next digit in our result. 
Result so far: 91.0
The remainder is 70 after subtracting 86 from 156.
Append the next digit (7) from the dividend to 70 and continue with: 707 / 86

Advancing to step 5:
86 goes into 707 8 times with a remainder of 19.
Use 8 as the next digit of our solution. 
Result so far: 918.0
Deduct 688 from 707 and we're left with 19.
Include the next digit (4) from the dividend after 19, then repeat: 194 / 86

Going ahead to step 6:
86 can be fit into 194 2 times, resulting in a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 9182.0
Subtract 172 from 194 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 7:
220 divided by 86 is 2 with a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 9182.2
Deduct 172 from 220 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
86 goes into 480 5 times with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 9182.25
If we take 430 away from 480, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
When dividing 500 by 86, we get 5 with a remainder of 70.
Record the quotient 5 as the next digit in the result. 
Result so far: 9182.255
Subtract 430 from 500 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

After the division, we end up with 9182.255 and a remainder of 0.007.