Solve 1072:28=

$$1072 : 28 =$$

Evaluate

$$\frac{268}{7}\approx 38.285714286$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1072

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)1072}\\\end{array}$$

Since 1 is less than 28, use the next digit 0 from dividend 1072 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)1072}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1072

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)1072}\\\end{array}$$

Since 10 is less than 28, use the next digit 7 from dividend 1072 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)1072}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1072

$$\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)1072}\\\end{array}$$

Find closest multiple of 28 to 107. We see that 3 \times 28 = 84 is the nearest. Now subtract 84 from 107 to get reminder 23. Add 3 to quotient.

$$\begin{array}{l}\phantom{28)}003\phantom{6}\\28\overline{)1072}\\\phantom{28)}\underline{\phantom{9}84\phantom{9}}\\\phantom{28)9}23\\\end{array}$$

Use the 4^{th} digit 2 from dividend 1072

$$\begin{array}{l}\phantom{28)}003\phantom{7}\\28\overline{)1072}\\\phantom{28)}\underline{\phantom{9}84\phantom{9}}\\\phantom{28)9}232\\\end{array}$$

Find closest multiple of 28 to 232. We see that 8 \times 28 = 224 is the nearest. Now subtract 224 from 232 to get reminder 8. Add 8 to quotient.

$$\begin{array}{l}\phantom{28)}0038\phantom{8}\\28\overline{)1072}\\\phantom{28)}\underline{\phantom{9}84\phantom{9}}\\\phantom{28)9}232\\\phantom{28)}\underline{\phantom{9}224\phantom{}}\\\phantom{28)999}8\\\end{array}$$

Since 8 is less than 28, stop the division. The reminder is 8. The topmost line 0038 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 38.

$$\text{Quotient: }38 \text{Reminder: }8$$

Factor

$$\frac{2 ^ {2} \cdot 67}{7} = 38\frac{2}{7} = 38.285714285714285$$