Since you have two separate accounts involved, you should have two Form 1099-R to enter into your return. One for the back door Roth IRA conversion (not rollover) and one for the $100 that you simply cashed out.
After you enter each Form 1099-R, there will be follow-up questions to answer. For the 1099-R reporting the amount that was converted to the Roth IRA, answer the questions with that in mind. The key point to remember is that you are indicating that the money was converted to a Roth IRA, not rolled over to another account.
For the 1099-R reporting the $100 that you wanted to cash out, watch for the question that asked if you simply cashed out the money or 'did something else' with it.
If you only have a single Form 1099-R reporting both the amount that was converted to the Roth IRA and the amount that you cashed out (for your example, $6100), then you will go through the first set of steps mentioned in the post above by DanaB to indicate that you did a combination of things with the money. You will enter $6000 in the conversion box and anything leftover ($100) will be considered to have been cashed out.
@bballlova99
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