Solve 34551/88

$$34551 / 88$$

Evaluate

$$\frac{3141}{8}=392.625$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 34551

$$\begin{array}{l}\phantom{88)}\phantom{1}\\88\overline{)34551}\\\end{array}$$

Since 3 is less than 88, use the next digit 4 from dividend 34551 and add 0 to the quotient

$$\begin{array}{l}\phantom{88)}0\phantom{2}\\88\overline{)34551}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 34551

$$\begin{array}{l}\phantom{88)}0\phantom{3}\\88\overline{)34551}\\\end{array}$$

Since 34 is less than 88, use the next digit 5 from dividend 34551 and add 0 to the quotient

$$\begin{array}{l}\phantom{88)}00\phantom{4}\\88\overline{)34551}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 34551

$$\begin{array}{l}\phantom{88)}00\phantom{5}\\88\overline{)34551}\\\end{array}$$

Find closest multiple of 88 to 345. We see that 3 \times 88 = 264 is the nearest. Now subtract 264 from 345 to get reminder 81. Add 3 to quotient.

$$\begin{array}{l}\phantom{88)}003\phantom{6}\\88\overline{)34551}\\\phantom{88)}\underline{\phantom{}264\phantom{99}}\\\phantom{88)9}81\\\end{array}$$

Use the 4^{th} digit 5 from dividend 34551

$$\begin{array}{l}\phantom{88)}003\phantom{7}\\88\overline{)34551}\\\phantom{88)}\underline{\phantom{}264\phantom{99}}\\\phantom{88)9}815\\\end{array}$$

Find closest multiple of 88 to 815. We see that 9 \times 88 = 792 is the nearest. Now subtract 792 from 815 to get reminder 23. Add 9 to quotient.

$$\begin{array}{l}\phantom{88)}0039\phantom{8}\\88\overline{)34551}\\\phantom{88)}\underline{\phantom{}264\phantom{99}}\\\phantom{88)9}815\\\phantom{88)}\underline{\phantom{9}792\phantom{9}}\\\phantom{88)99}23\\\end{array}$$

Use the 5^{th} digit 1 from dividend 34551

$$\begin{array}{l}\phantom{88)}0039\phantom{9}\\88\overline{)34551}\\\phantom{88)}\underline{\phantom{}264\phantom{99}}\\\phantom{88)9}815\\\phantom{88)}\underline{\phantom{9}792\phantom{9}}\\\phantom{88)99}231\\\end{array}$$

Find closest multiple of 88 to 231. We see that 2 \times 88 = 176 is the nearest. Now subtract 176 from 231 to get reminder 55. Add 2 to quotient.

$$\begin{array}{l}\phantom{88)}00392\phantom{10}\\88\overline{)34551}\\\phantom{88)}\underline{\phantom{}264\phantom{99}}\\\phantom{88)9}815\\\phantom{88)}\underline{\phantom{9}792\phantom{9}}\\\phantom{88)99}231\\\phantom{88)}\underline{\phantom{99}176\phantom{}}\\\phantom{88)999}55\\\end{array}$$

Since 55 is less than 88, stop the division. The reminder is 55. The topmost line 00392 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 392.

$$\text{Quotient: }392 \text{Reminder: }55$$

Factor

$$\frac{3 ^ {2} \cdot 349}{2 ^ {3}} = 392\frac{5}{8} = 392.625$$