902114 divided by 13 
We're looking to find how many times 13 goes into 902114.

Going ahead to step 1:
13 can be fit into 9 0 times, resulting in a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 13

On to step 2:
When dividing 90 by 13, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 6.0
If we take 78 away from 90, we end up with 12.
Take the next digit (2) from the dividend and append it to 12, then repeat: 122 / 13

On to step 3:
13 goes into 122 9 times with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
Subtract 117 from 122 to get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 13

On to step 4:
When dividing 51 by 13, we get 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 693.0
Subtract 39 from 51 to get 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 13

On to step 5:
If we divide 121 by 13, we get 9 and a remainder of 4.
The next digit of our result is 9. 
Result so far: 6939.0
If we take 117 away from 121, we end up with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 13

Step 6:
44 divided by 13 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 69393.0
Deduct 39 from 44 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
13 goes into 50 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 69393.3
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 69393.38
Deduct 104 from 110 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.

Moving on to step 9:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 69393.384
Subtracting 52 from 60 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.

Moving on to step 10:
If we divide 80 by 13, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 69393.3846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 11:
13 goes into 20 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 69393.38461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 69393.384615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 69393.3846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 14:
When dividing 110 by 13, we get 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 69393.38461538
If we subtract 104 from 110, 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.

The quotient of the division is 69393.38461538, and the remainder is 6e-09.