Solve 1,583div67

$$1,583 \div 67$$

Evaluate

$$\frac{1583}{67}\approx 23.626865672$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1583

$$\begin{array}{l}\phantom{67)}\phantom{1}\\67\overline{)1583}\\\end{array}$$

Since 1 is less than 67, use the next digit 5 from dividend 1583 and add 0 to the quotient

$$\begin{array}{l}\phantom{67)}0\phantom{2}\\67\overline{)1583}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1583

$$\begin{array}{l}\phantom{67)}0\phantom{3}\\67\overline{)1583}\\\end{array}$$

Since 15 is less than 67, use the next digit 8 from dividend 1583 and add 0 to the quotient

$$\begin{array}{l}\phantom{67)}00\phantom{4}\\67\overline{)1583}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 1583

$$\begin{array}{l}\phantom{67)}00\phantom{5}\\67\overline{)1583}\\\end{array}$$

Find closest multiple of 67 to 158. We see that 2 \times 67 = 134 is the nearest. Now subtract 134 from 158 to get reminder 24. Add 2 to quotient.

$$\begin{array}{l}\phantom{67)}002\phantom{6}\\67\overline{)1583}\\\phantom{67)}\underline{\phantom{}134\phantom{9}}\\\phantom{67)9}24\\\end{array}$$

Use the 4^{th} digit 3 from dividend 1583

$$\begin{array}{l}\phantom{67)}002\phantom{7}\\67\overline{)1583}\\\phantom{67)}\underline{\phantom{}134\phantom{9}}\\\phantom{67)9}243\\\end{array}$$

Find closest multiple of 67 to 243. We see that 3 \times 67 = 201 is the nearest. Now subtract 201 from 243 to get reminder 42. Add 3 to quotient.

$$\begin{array}{l}\phantom{67)}0023\phantom{8}\\67\overline{)1583}\\\phantom{67)}\underline{\phantom{}134\phantom{9}}\\\phantom{67)9}243\\\phantom{67)}\underline{\phantom{9}201\phantom{}}\\\phantom{67)99}42\\\end{array}$$

Since 42 is less than 67, stop the division. The reminder is 42. The topmost line 0023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.

$$\text{Quotient: }23 \text{Reminder: }42$$

Factor

$$\frac{1583}{67} = 23\frac{42}{67} = 23.62686567164179$$