Solve 1258div22

$$1258 \div 22$$

Evaluate

$$\frac{629}{11}\approx 57.181818182$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1258

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)1258}\\\end{array}$$

Since 1 is less than 22, use the next digit 2 from dividend 1258 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)1258}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1258

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)1258}\\\end{array}$$

Since 12 is less than 22, use the next digit 5 from dividend 1258 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}00\phantom{4}\\22\overline{)1258}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1258

$$\begin{array}{l}\phantom{22)}00\phantom{5}\\22\overline{)1258}\\\end{array}$$

Find closest multiple of 22 to 125. We see that 5 \times 22 = 110 is the nearest. Now subtract 110 from 125 to get reminder 15. Add 5 to quotient.

$$\begin{array}{l}\phantom{22)}005\phantom{6}\\22\overline{)1258}\\\phantom{22)}\underline{\phantom{}110\phantom{9}}\\\phantom{22)9}15\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1258

$$\begin{array}{l}\phantom{22)}005\phantom{7}\\22\overline{)1258}\\\phantom{22)}\underline{\phantom{}110\phantom{9}}\\\phantom{22)9}158\\\end{array}$$

Find closest multiple of 22 to 158. We see that 7 \times 22 = 154 is the nearest. Now subtract 154 from 158 to get reminder 4. Add 7 to quotient.

$$\begin{array}{l}\phantom{22)}0057\phantom{8}\\22\overline{)1258}\\\phantom{22)}\underline{\phantom{}110\phantom{9}}\\\phantom{22)9}158\\\phantom{22)}\underline{\phantom{9}154\phantom{}}\\\phantom{22)999}4\\\end{array}$$

Since 4 is less than 22, stop the division. The reminder is 4. The topmost line 0057 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 57.

$$\text{Quotient: }57 \text{Reminder: }4$$

Factor

$$\frac{17 \cdot 37}{11} = 57\frac{2}{11} = 57.18181818181818$$