Magic of 8 & 7

$\frac{8,101,265,822,784}{8} = 1,012,658,227,848$

The above equation is interesting in that

• on the left side, the denominator 8 is the leading digit of the numerator;
• the 13-digit number on the right side is the numerator on the left side with its leading digit 8 moved to the back, the rest of the 12 digits 101,265,822,784 staying put.

Now, as shown below, something similar happens with a 22-digit number: $\frac{7\, \text{\_} \;\text{\_} \;\text{\_} \, \text{\_} \;\text{\_} \;\text{\_} \, \text{\_} \;\text{\_} \;\text{\_} \, \text{\_} \;\text{\_} \;\text{\_} \, \text{\_} \;\text{\_} \;\text{\_} \, \text{\_} \;\text{\_} \;\text{\_} \, \text{\_} \;\text{\_} \;\text{\_}}{7} = \text{\_} \;\text{\_} \;\text{\_} \, \text{\_} \;\text{\_} \;\text{\_} \, \text{\_} \;\text{\_} \;\text{\_} \, \text{\_} \;\text{\_} \;\text{\_} \, \text{\_} \;\text{\_} \;\text{\_} \, \text{\_} \;\text{\_} \;\text{\_} \, \text{\_} \;\text{\_} \;\text{\_} \, 7 ,$ where

• on the left side, the denominator 7 is the leading digit of the numerator;
• the 22-digit number on the right side is the numerator on the left side with its leading digit 7 moved to the back, the rest of the 21 digits staying put.

What is the digit sum of this 22-digit number?