Solve 4002div116

$$4002 \div 116$$

Evaluate

$$\frac{69}{2}=34.5$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4002

$$\begin{array}{l}\phantom{116)}\phantom{1}\\116\overline{)4002}\\\end{array}$$

Since 4 is less than 116, use the next digit 0 from dividend 4002 and add 0 to the quotient

$$\begin{array}{l}\phantom{116)}0\phantom{2}\\116\overline{)4002}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 4002

$$\begin{array}{l}\phantom{116)}0\phantom{3}\\116\overline{)4002}\\\end{array}$$

Since 40 is less than 116, use the next digit 0 from dividend 4002 and add 0 to the quotient

$$\begin{array}{l}\phantom{116)}00\phantom{4}\\116\overline{)4002}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4002

$$\begin{array}{l}\phantom{116)}00\phantom{5}\\116\overline{)4002}\\\end{array}$$

Find closest multiple of 116 to 400. We see that 3 \times 116 = 348 is the nearest. Now subtract 348 from 400 to get reminder 52. Add 3 to quotient.

$$\begin{array}{l}\phantom{116)}003\phantom{6}\\116\overline{)4002}\\\phantom{116)}\underline{\phantom{}348\phantom{9}}\\\phantom{116)9}52\\\end{array}$$

Use the 4^{th} digit 2 from dividend 4002

$$\begin{array}{l}\phantom{116)}003\phantom{7}\\116\overline{)4002}\\\phantom{116)}\underline{\phantom{}348\phantom{9}}\\\phantom{116)9}522\\\end{array}$$

Find closest multiple of 116 to 522. We see that 4 \times 116 = 464 is the nearest. Now subtract 464 from 522 to get reminder 58. Add 4 to quotient.

$$\begin{array}{l}\phantom{116)}0034\phantom{8}\\116\overline{)4002}\\\phantom{116)}\underline{\phantom{}348\phantom{9}}\\\phantom{116)9}522\\\phantom{116)}\underline{\phantom{9}464\phantom{}}\\\phantom{116)99}58\\\end{array}$$

Since 58 is less than 116, stop the division. The reminder is 58. The topmost line 0034 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34.

$$\text{Quotient: }34 \text{Reminder: }58$$

Factor

$$\frac{3 \cdot 23}{2} = 34\frac{1}{2} = 34.5$$