"Home and Business version of turbo tax does not calculate the expense from employees?"
Home & business is for Income taxes, not Employee Payroll Taxes.
Did you issue your "employee" a W2 or a 1099MISC at year end? If you gave them a W2, you needed to file quarterly 941 forms as well.
You may want to research "employee vs. independent contractor" so you can understand the difference.
Employees are issued W2's and have payroll taxes (social security, medicare, fed and state withholding) deducted from their pay and the employer remits that to the government each quarter on 941 and whatever the equivalent form is for your particular state.
Independent Contractors are issued a 1099MISC and there are no payroll forms to remit to the government, since independent contractors are self employed people and pay their own self employment taxes (social security & medicare)
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