Solve 258/37

$$\frac { 258 } { 37 }$$

Evaluate

$$\frac{258}{37}\approx 6.972972973$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 258

$$\begin{array}{l}\phantom{37)}\phantom{1}\\37\overline{)258}\\\end{array}$$

Since 2 is less than 37, use the next digit 5 from dividend 258 and add 0 to the quotient

$$\begin{array}{l}\phantom{37)}0\phantom{2}\\37\overline{)258}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 258

$$\begin{array}{l}\phantom{37)}0\phantom{3}\\37\overline{)258}\\\end{array}$$

Since 25 is less than 37, use the next digit 8 from dividend 258 and add 0 to the quotient

$$\begin{array}{l}\phantom{37)}00\phantom{4}\\37\overline{)258}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 258

$$\begin{array}{l}\phantom{37)}00\phantom{5}\\37\overline{)258}\\\end{array}$$

Find closest multiple of 37 to 258. We see that 6 \times 37 = 222 is the nearest. Now subtract 222 from 258 to get reminder 36. Add 6 to quotient.

$$\begin{array}{l}\phantom{37)}006\phantom{6}\\37\overline{)258}\\\phantom{37)}\underline{\phantom{}222\phantom{}}\\\phantom{37)9}36\\\end{array}$$

Since 36 is less than 37, stop the division. The reminder is 36. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }36$$

Factor

$$\frac{2 \cdot 3 \cdot 43}{37} = 6\frac{36}{37} = 6.972972972972973$$