Solve 1299:88

$$1299 : 88$$

Evaluate

$$\frac{1299}{88}\approx 14.761363636$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1299

$$\begin{array}{l}\phantom{88)}\phantom{1}\\88\overline{)1299}\\\end{array}$$

Since 1 is less than 88, use the next digit 2 from dividend 1299 and add 0 to the quotient

$$\begin{array}{l}\phantom{88)}0\phantom{2}\\88\overline{)1299}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1299

$$\begin{array}{l}\phantom{88)}0\phantom{3}\\88\overline{)1299}\\\end{array}$$

Since 12 is less than 88, use the next digit 9 from dividend 1299 and add 0 to the quotient

$$\begin{array}{l}\phantom{88)}00\phantom{4}\\88\overline{)1299}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1299

$$\begin{array}{l}\phantom{88)}00\phantom{5}\\88\overline{)1299}\\\end{array}$$

Find closest multiple of 88 to 129. We see that 1 \times 88 = 88 is the nearest. Now subtract 88 from 129 to get reminder 41. Add 1 to quotient.

$$\begin{array}{l}\phantom{88)}001\phantom{6}\\88\overline{)1299}\\\phantom{88)}\underline{\phantom{9}88\phantom{9}}\\\phantom{88)9}41\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1299

$$\begin{array}{l}\phantom{88)}001\phantom{7}\\88\overline{)1299}\\\phantom{88)}\underline{\phantom{9}88\phantom{9}}\\\phantom{88)9}419\\\end{array}$$

Find closest multiple of 88 to 419. We see that 4 \times 88 = 352 is the nearest. Now subtract 352 from 419 to get reminder 67. Add 4 to quotient.

$$\begin{array}{l}\phantom{88)}0014\phantom{8}\\88\overline{)1299}\\\phantom{88)}\underline{\phantom{9}88\phantom{9}}\\\phantom{88)9}419\\\phantom{88)}\underline{\phantom{9}352\phantom{}}\\\phantom{88)99}67\\\end{array}$$

Since 67 is less than 88, stop the division. The reminder is 67. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }67$$

Factor

$$\frac{3 \cdot 433}{2 ^ {3} \cdot 11} = 14\frac{67}{88} = 14.761363636363637$$