Solve 5764div62

$$5764 \div 62$$

Evaluate

$$\frac{2882}{31}\approx 92.967741935$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5764

$$\begin{array}{l}\phantom{62)}\phantom{1}\\62\overline{)5764}\\\end{array}$$

Since 5 is less than 62, use the next digit 7 from dividend 5764 and add 0 to the quotient

$$\begin{array}{l}\phantom{62)}0\phantom{2}\\62\overline{)5764}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 5764

$$\begin{array}{l}\phantom{62)}0\phantom{3}\\62\overline{)5764}\\\end{array}$$

Since 57 is less than 62, use the next digit 6 from dividend 5764 and add 0 to the quotient

$$\begin{array}{l}\phantom{62)}00\phantom{4}\\62\overline{)5764}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 5764

$$\begin{array}{l}\phantom{62)}00\phantom{5}\\62\overline{)5764}\\\end{array}$$

Find closest multiple of 62 to 576. We see that 9 \times 62 = 558 is the nearest. Now subtract 558 from 576 to get reminder 18. Add 9 to quotient.

$$\begin{array}{l}\phantom{62)}009\phantom{6}\\62\overline{)5764}\\\phantom{62)}\underline{\phantom{}558\phantom{9}}\\\phantom{62)9}18\\\end{array}$$

Use the 4^{th} digit 4 from dividend 5764

$$\begin{array}{l}\phantom{62)}009\phantom{7}\\62\overline{)5764}\\\phantom{62)}\underline{\phantom{}558\phantom{9}}\\\phantom{62)9}184\\\end{array}$$

Find closest multiple of 62 to 184. We see that 2 \times 62 = 124 is the nearest. Now subtract 124 from 184 to get reminder 60. Add 2 to quotient.

$$\begin{array}{l}\phantom{62)}0092\phantom{8}\\62\overline{)5764}\\\phantom{62)}\underline{\phantom{}558\phantom{9}}\\\phantom{62)9}184\\\phantom{62)}\underline{\phantom{9}124\phantom{}}\\\phantom{62)99}60\\\end{array}$$

Since 60 is less than 62, stop the division. The reminder is 60. The topmost line 0092 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 92.

$$\text{Quotient: }92 \text{Reminder: }60$$

Factor

$$\frac{2 \cdot 11 \cdot 131}{31} = 92\frac{30}{31} = 92.96774193548387$$