Over the last 6 months Josh wrote 6 checks for a total of $706 to pay his phone bill. His phone bill is the same amount each month. What was the change in Josh's bank account balance each month after paying his phone bill?

Josh wrote 6 checks over 6 months for a total of $706 so his phone bill is 706/6 = $<<706/6=117.67>>117.67

If he pays his phone bill with a check for $117.67 each month then his bank account will be decreased by $117.67/month
If Josh's account is decreased by $117.67 per month then the change in his account is, over 6 months, 117.67*6 = $<<117.67*6=706>>706. Answer: \boxed{706}.

To find the change in Josh's bank account balance each month after paying his phone bill, we need to divide the total amount paid by the number of months.

Total amount paid: $706
Number of months: 6

Change in bank account balance each month = Total amount paid / Number of months

Change in bank account balance each month = $706 / 6

Change in bank account balance each month = $117.67

Therefore, the change in Josh's bank account balance each month after paying his phone bill is $117.67.