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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 936 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.180426 ÷ 989 =
  2. 2.24333 ÷ 97 =
  3. 3.55366 ÷ 89 =
  4. 4.2137 ÷ 96 =
  5. 5.9258 ÷ 8 =
  6. 6.9825 ÷ 8 =
  7. 7.2888 ÷ 8 =
  8. 8.30169 ÷ 97 =
  9. 9.586651 ÷ 989 =
  10. 10.230432 ÷ 997 =
  11. 11.7142 ÷ 8 =
  12. 12.115061 ÷ 998 =
  13. 13.89321 ÷ 88 =
  14. 14.116976 ÷ 997 =
  15. 15.3847 ÷ 8 =
  16. 16.97366 ÷ 89 =
  17. 17.318243 ÷ 997 =
  18. 18.330625 ÷ 988 =
  19. 19.86655 ÷ 98 =
  20. 20.65100 ÷ 89 =
  21. 21.38969 ÷ 89 =
  22. 22.77546 ÷ 88 =
  23. 23.74272 ÷ 98 =
  24. 24.38589 ÷ 988 =
  25. 25.823796 ÷ 897 =
  26. 26.29372 ÷ 88 =
  27. 27.32625 ÷ 96 =
  28. 28.993900 ÷ 998 =
  29. 29.786419 ÷ 988 =
  30. 30.64889 ÷ 97 =
  31. 31.1588 ÷ 8 =
  32. 32.517917 ÷ 998 =
  33. 33.393933 ÷ 997 =
  34. 34.281392 ÷ 997 =
  35. 35.77445 ÷ 98 =
  36. 36.13949 ÷ 98 =
  37. 37.148705 ÷ 988 =
  38. 38.6753 ÷ 98 =
  39. 39.640879 ÷ 997 =
  40. 40.30320 ÷ 98 =

Answer key

  1. 182 rem 428
  2. 250 rem 83
  3. 622 rem 8
  4. 22 rem 25
  5. 1157 rem 2
  6. 1228 rem 1
  7. 361 rem 0
  8. 311 rem 2
  9. 593 rem 174
  10. 231 rem 125
  11. 892 rem 6
  12. 115 rem 291
  13. 1015 rem 1
  14. 117 rem 327
  15. 480 rem 7
  16. 1094 rem 0
  17. 319 rem 200
  18. 334 rem 633
  19. 884 rem 23
  20. 731 rem 41
  21. 437 rem 76
  22. 881 rem 18
  23. 757 rem 86
  24. 39 rem 57
  25. 918 rem 350
  26. 333 rem 68
  27. 339 rem 81
  28. 995 rem 890
  29. 795 rem 959
  30. 668 rem 93
  31. 198 rem 4
  32. 518 rem 953
  33. 395 rem 118
  34. 282 rem 238
  35. 790 rem 25
  36. 142 rem 33
  37. 150 rem 505
  38. 68 rem 89
  39. 642 rem 805
  40. 309 rem 38

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