Solve 79,982/35

$$\frac { 79,982 } { 35 }$$

Evaluate

$$\frac{11426}{5}=2285.2$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 79982

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)79982}\\\end{array}$$

Since 7 is less than 35, use the next digit 9 from dividend 79982 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)79982}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 79982

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)79982}\\\end{array}$$

Find closest multiple of 35 to 79. We see that 2 \times 35 = 70 is the nearest. Now subtract 70 from 79 to get reminder 9. Add 2 to quotient.

$$\begin{array}{l}\phantom{35)}02\phantom{4}\\35\overline{)79982}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)9}9\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 79982

$$\begin{array}{l}\phantom{35)}02\phantom{5}\\35\overline{)79982}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)9}99\\\end{array}$$

Find closest multiple of 35 to 99. We see that 2 \times 35 = 70 is the nearest. Now subtract 70 from 99 to get reminder 29. Add 2 to quotient.

$$\begin{array}{l}\phantom{35)}022\phantom{6}\\35\overline{)79982}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)9}99\\\phantom{35)}\underline{\phantom{9}70\phantom{99}}\\\phantom{35)9}29\\\end{array}$$

Use the 4^{th} digit 8 from dividend 79982

$$\begin{array}{l}\phantom{35)}022\phantom{7}\\35\overline{)79982}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)9}99\\\phantom{35)}\underline{\phantom{9}70\phantom{99}}\\\phantom{35)9}298\\\end{array}$$

Find closest multiple of 35 to 298. We see that 8 \times 35 = 280 is the nearest. Now subtract 280 from 298 to get reminder 18. Add 8 to quotient.

$$\begin{array}{l}\phantom{35)}0228\phantom{8}\\35\overline{)79982}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)9}99\\\phantom{35)}\underline{\phantom{9}70\phantom{99}}\\\phantom{35)9}298\\\phantom{35)}\underline{\phantom{9}280\phantom{9}}\\\phantom{35)99}18\\\end{array}$$

Use the 5^{th} digit 2 from dividend 79982

$$\begin{array}{l}\phantom{35)}0228\phantom{9}\\35\overline{)79982}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)9}99\\\phantom{35)}\underline{\phantom{9}70\phantom{99}}\\\phantom{35)9}298\\\phantom{35)}\underline{\phantom{9}280\phantom{9}}\\\phantom{35)99}182\\\end{array}$$

Find closest multiple of 35 to 182. We see that 5 \times 35 = 175 is the nearest. Now subtract 175 from 182 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{35)}02285\phantom{10}\\35\overline{)79982}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)9}99\\\phantom{35)}\underline{\phantom{9}70\phantom{99}}\\\phantom{35)9}298\\\phantom{35)}\underline{\phantom{9}280\phantom{9}}\\\phantom{35)99}182\\\phantom{35)}\underline{\phantom{99}175\phantom{}}\\\phantom{35)9999}7\\\end{array}$$

Since 7 is less than 35, stop the division. The reminder is 7. The topmost line 02285 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2285.

$$\text{Quotient: }2285 \text{Reminder: }7$$

Factor

$$\frac{2 \cdot 29 \cdot 197}{5} = 2285\frac{1}{5} = 2285.2$$