First, guess multiples of 9 nearer to 6291. You have:
9x600(=9x6x100)=5400, 9x700(=9x7x100)=6300, or 9x800(=9x8x100)=7200
So, you'll take 6300 as one of the nearest multiples.
Compare 6291 to 6300: 6300-6291=9.
So, 6300-9=6291 ⇒ 9x700-9x1=6291 ⇒ 9x(700-1)=6291 ⇒
9x699=6291 Divide both sides by 9, getting
699=6291÷9 Swap sides.*
We have the answer: 6291÷9=699
* You may need not these whole steps.