Solve 6400/69

$$\frac { 6400 } { 69 }$$

Evaluate

$$\frac{6400}{69}\approx 92.753623188$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6400

$$\begin{array}{l}\phantom{69)}\phantom{1}\\69\overline{)6400}\\\end{array}$$

Since 6 is less than 69, use the next digit 4 from dividend 6400 and add 0 to the quotient

$$\begin{array}{l}\phantom{69)}0\phantom{2}\\69\overline{)6400}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 6400

$$\begin{array}{l}\phantom{69)}0\phantom{3}\\69\overline{)6400}\\\end{array}$$

Since 64 is less than 69, use the next digit 0 from dividend 6400 and add 0 to the quotient

$$\begin{array}{l}\phantom{69)}00\phantom{4}\\69\overline{)6400}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 6400

$$\begin{array}{l}\phantom{69)}00\phantom{5}\\69\overline{)6400}\\\end{array}$$

Find closest multiple of 69 to 640. We see that 9 \times 69 = 621 is the nearest. Now subtract 621 from 640 to get reminder 19. Add 9 to quotient.

$$\begin{array}{l}\phantom{69)}009\phantom{6}\\69\overline{)6400}\\\phantom{69)}\underline{\phantom{}621\phantom{9}}\\\phantom{69)9}19\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6400

$$\begin{array}{l}\phantom{69)}009\phantom{7}\\69\overline{)6400}\\\phantom{69)}\underline{\phantom{}621\phantom{9}}\\\phantom{69)9}190\\\end{array}$$

Find closest multiple of 69 to 190. We see that 2 \times 69 = 138 is the nearest. Now subtract 138 from 190 to get reminder 52. Add 2 to quotient.

$$\begin{array}{l}\phantom{69)}0092\phantom{8}\\69\overline{)6400}\\\phantom{69)}\underline{\phantom{}621\phantom{9}}\\\phantom{69)9}190\\\phantom{69)}\underline{\phantom{9}138\phantom{}}\\\phantom{69)99}52\\\end{array}$$

Since 52 is less than 69, stop the division. The reminder is 52. The topmost line 0092 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 92.

$$\text{Quotient: }92 \text{Reminder: }52$$

Factor

$$\frac{2 ^ {8} \cdot 5 ^ {2}}{3 \cdot 23} = 92\frac{52}{69} = 92.7536231884058$$