Solve 372/28

$$\frac { 372 } { 28 }$$

Evaluate

$$\frac{93}{7}\approx 13.285714286$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 372

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)372}\\\end{array}$$

Since 3 is less than 28, use the next digit 7 from dividend 372 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)372}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 372

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)372}\\\end{array}$$

Find closest multiple of 28 to 37. We see that 1 \times 28 = 28 is the nearest. Now subtract 28 from 37 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{28)}01\phantom{4}\\28\overline{)372}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)9}9\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 372

$$\begin{array}{l}\phantom{28)}01\phantom{5}\\28\overline{)372}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)9}92\\\end{array}$$

Find closest multiple of 28 to 92. We see that 3 \times 28 = 84 is the nearest. Now subtract 84 from 92 to get reminder 8. Add 3 to quotient.

$$\begin{array}{l}\phantom{28)}013\phantom{6}\\28\overline{)372}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)9}92\\\phantom{28)}\underline{\phantom{9}84\phantom{}}\\\phantom{28)99}8\\\end{array}$$

Since 8 is less than 28, stop the division. The reminder is 8. The topmost line 013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }8$$

Factor

$$\frac{3 \cdot 31}{7} = 13\frac{2}{7} = 13.285714285714286$$