Solve 8428/248

$$\frac { 8428 } { 248 }$$

Evaluate

$$\frac{2107}{62}\approx 33.983870968$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8428

$$\begin{array}{l}\phantom{248)}\phantom{1}\\248\overline{)8428}\\\end{array}$$

Since 8 is less than 248, use the next digit 4 from dividend 8428 and add 0 to the quotient

$$\begin{array}{l}\phantom{248)}0\phantom{2}\\248\overline{)8428}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 8428

$$\begin{array}{l}\phantom{248)}0\phantom{3}\\248\overline{)8428}\\\end{array}$$

Since 84 is less than 248, use the next digit 2 from dividend 8428 and add 0 to the quotient

$$\begin{array}{l}\phantom{248)}00\phantom{4}\\248\overline{)8428}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 8428

$$\begin{array}{l}\phantom{248)}00\phantom{5}\\248\overline{)8428}\\\end{array}$$

Find closest multiple of 248 to 842. We see that 3 \times 248 = 744 is the nearest. Now subtract 744 from 842 to get reminder 98. Add 3 to quotient.

$$\begin{array}{l}\phantom{248)}003\phantom{6}\\248\overline{)8428}\\\phantom{248)}\underline{\phantom{}744\phantom{9}}\\\phantom{248)9}98\\\end{array}$$

Use the 4^{th} digit 8 from dividend 8428

$$\begin{array}{l}\phantom{248)}003\phantom{7}\\248\overline{)8428}\\\phantom{248)}\underline{\phantom{}744\phantom{9}}\\\phantom{248)9}988\\\end{array}$$

Find closest multiple of 248 to 988. We see that 3 \times 248 = 744 is the nearest. Now subtract 744 from 988 to get reminder 244. Add 3 to quotient.

$$\begin{array}{l}\phantom{248)}0033\phantom{8}\\248\overline{)8428}\\\phantom{248)}\underline{\phantom{}744\phantom{9}}\\\phantom{248)9}988\\\phantom{248)}\underline{\phantom{9}744\phantom{}}\\\phantom{248)9}244\\\end{array}$$

Since 244 is less than 248, stop the division. The reminder is 244. The topmost line 0033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.

$$\text{Quotient: }33 \text{Reminder: }244$$

Factor

$$\frac{7 ^ {2} \cdot 43}{2 \cdot 31} = 33\frac{61}{62} = 33.983870967741936$$