Solve 6799div94

$$6799 \div 94$$

Evaluate

$$\frac{6799}{94}\approx 72.329787234$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6799

$$\begin{array}{l}\phantom{94)}\phantom{1}\\94\overline{)6799}\\\end{array}$$

Since 6 is less than 94, use the next digit 7 from dividend 6799 and add 0 to the quotient

$$\begin{array}{l}\phantom{94)}0\phantom{2}\\94\overline{)6799}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 6799

$$\begin{array}{l}\phantom{94)}0\phantom{3}\\94\overline{)6799}\\\end{array}$$

Since 67 is less than 94, use the next digit 9 from dividend 6799 and add 0 to the quotient

$$\begin{array}{l}\phantom{94)}00\phantom{4}\\94\overline{)6799}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 6799

$$\begin{array}{l}\phantom{94)}00\phantom{5}\\94\overline{)6799}\\\end{array}$$

Find closest multiple of 94 to 679. We see that 7 \times 94 = 658 is the nearest. Now subtract 658 from 679 to get reminder 21. Add 7 to quotient.

$$\begin{array}{l}\phantom{94)}007\phantom{6}\\94\overline{)6799}\\\phantom{94)}\underline{\phantom{}658\phantom{9}}\\\phantom{94)9}21\\\end{array}$$

Use the 4^{th} digit 9 from dividend 6799

$$\begin{array}{l}\phantom{94)}007\phantom{7}\\94\overline{)6799}\\\phantom{94)}\underline{\phantom{}658\phantom{9}}\\\phantom{94)9}219\\\end{array}$$

Find closest multiple of 94 to 219. We see that 2 \times 94 = 188 is the nearest. Now subtract 188 from 219 to get reminder 31. Add 2 to quotient.

$$\begin{array}{l}\phantom{94)}0072\phantom{8}\\94\overline{)6799}\\\phantom{94)}\underline{\phantom{}658\phantom{9}}\\\phantom{94)9}219\\\phantom{94)}\underline{\phantom{9}188\phantom{}}\\\phantom{94)99}31\\\end{array}$$

Since 31 is less than 94, stop the division. The reminder is 31. The topmost line 0072 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 72.

$$\text{Quotient: }72 \text{Reminder: }31$$

Factor

$$\frac{13 \cdot 523}{2 \cdot 47} = 72\frac{31}{94} = 72.32978723404256$$