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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 256 · 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. 1.6804 ÷ 8 =
  2. 2.41747 ÷ 97 =
  3. 3.4077 ÷ 89 =
  4. 4.336630 ÷ 998 =
  5. 5.8998 ÷ 8 =
  6. 6.980182 ÷ 989 =
  7. 7.626007 ÷ 989 =
  8. 8.67795 ÷ 88 =
  9. 9.222085 ÷ 988 =
  10. 10.259330 ÷ 897 =
  11. 11.474390 ÷ 997 =
  12. 12.617545 ÷ 989 =
  13. 13.8688 ÷ 97 =
  14. 14.57200 ÷ 88 =
  15. 15.18183 ÷ 89 =
  16. 16.223886 ÷ 988 =
  17. 17.892226 ÷ 897 =
  18. 18.17504 ÷ 98 =
  19. 19.12444 ÷ 97 =
  20. 20.325666 ÷ 897 =
  21. 21.498174 ÷ 897 =
  22. 22.634153 ÷ 998 =
  23. 23.33396 ÷ 97 =
  24. 24.178023 ÷ 989 =
  25. 25.9869 ÷ 8 =
  26. 26.81295 ÷ 89 =
  27. 27.12973 ÷ 97 =
  28. 28.7087 ÷ 89 =
  29. 29.1574 ÷ 8 =
  30. 30.42301 ÷ 98 =
  31. 31.86249 ÷ 97 =
  32. 32.66072 ÷ 89 =
  33. 33.69138 ÷ 97 =
  34. 34.23862 ÷ 89 =
  35. 35.56469 ÷ 89 =
  36. 36.861799 ÷ 988 =
  37. 37.193699 ÷ 997 =
  38. 38.776190 ÷ 988 =
  39. 39.142716 ÷ 998 =
  40. 40.6182 ÷ 8 =

Answer key

  1. 850 rem 4
  2. 430 rem 37
  3. 45 rem 72
  4. 337 rem 304
  5. 1124 rem 6
  6. 991 rem 83
  7. 632 rem 959
  8. 770 rem 35
  9. 224 rem 773
  10. 289 rem 97
  11. 475 rem 815
  12. 624 rem 409
  13. 89 rem 55
  14. 650 rem 0
  15. 204 rem 27
  16. 226 rem 598
  17. 994 rem 608
  18. 178 rem 60
  19. 128 rem 28
  20. 363 rem 55
  21. 555 rem 339
  22. 635 rem 423
  23. 344 rem 28
  24. 180 rem 3
  25. 1233 rem 5
  26. 913 rem 38
  27. 133 rem 72
  28. 79 rem 56
  29. 196 rem 6
  30. 431 rem 63
  31. 889 rem 16
  32. 742 rem 34
  33. 712 rem 74
  34. 268 rem 10
  35. 634 rem 43
  36. 872 rem 263
  37. 194 rem 281
  38. 785 rem 610
  39. 143 rem 2
  40. 772 rem 6

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