Solve 3248div42

$$3248 \div 42$$

Evaluate

$$\frac{232}{3}\approx 77.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3248

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)3248}\\\end{array}$$

Since 3 is less than 42, use the next digit 2 from dividend 3248 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)3248}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 3248

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)3248}\\\end{array}$$

Since 32 is less than 42, use the next digit 4 from dividend 3248 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}00\phantom{4}\\42\overline{)3248}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 3248

$$\begin{array}{l}\phantom{42)}00\phantom{5}\\42\overline{)3248}\\\end{array}$$

Find closest multiple of 42 to 324. We see that 7 \times 42 = 294 is the nearest. Now subtract 294 from 324 to get reminder 30. Add 7 to quotient.

$$\begin{array}{l}\phantom{42)}007\phantom{6}\\42\overline{)3248}\\\phantom{42)}\underline{\phantom{}294\phantom{9}}\\\phantom{42)9}30\\\end{array}$$

Use the 4^{th} digit 8 from dividend 3248

$$\begin{array}{l}\phantom{42)}007\phantom{7}\\42\overline{)3248}\\\phantom{42)}\underline{\phantom{}294\phantom{9}}\\\phantom{42)9}308\\\end{array}$$

Find closest multiple of 42 to 308. We see that 7 \times 42 = 294 is the nearest. Now subtract 294 from 308 to get reminder 14. Add 7 to quotient.

$$\begin{array}{l}\phantom{42)}0077\phantom{8}\\42\overline{)3248}\\\phantom{42)}\underline{\phantom{}294\phantom{9}}\\\phantom{42)9}308\\\phantom{42)}\underline{\phantom{9}294\phantom{}}\\\phantom{42)99}14\\\end{array}$$

Since 14 is less than 42, stop the division. The reminder is 14. The topmost line 0077 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 77.

$$\text{Quotient: }77 \text{Reminder: }14$$

Factor

$$\frac{2 ^ {3} \cdot 29}{3} = 77\frac{1}{3} = 77.33333333333333$$