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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 756 · 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. 1.259868 ÷ 897 =
  2. 2.1392 ÷ 8 =
  3. 3.728081 ÷ 988 =
  4. 4.82913 ÷ 88 =
  5. 5.42843 ÷ 897 =
  6. 6.362169 ÷ 897 =
  7. 7.31255 ÷ 98 =
  8. 8.234946 ÷ 997 =
  9. 9.64082 ÷ 897 =
  10. 10.23361 ÷ 96 =
  11. 11.516576 ÷ 989 =
  12. 12.954187 ÷ 998 =
  13. 13.657747 ÷ 897 =
  14. 14.205768 ÷ 997 =
  15. 15.59639 ÷ 89 =
  16. 16.21708 ÷ 97 =
  17. 17.216695 ÷ 989 =
  18. 18.874000 ÷ 897 =
  19. 19.4966 ÷ 88 =
  20. 20.10037 ÷ 96 =
  21. 21.62783 ÷ 989 =
  22. 22.88988 ÷ 97 =
  23. 23.29998 ÷ 96 =
  24. 24.717439 ÷ 988 =
  25. 25.31697 ÷ 96 =
  26. 26.1278 ÷ 8 =
  27. 27.4820 ÷ 8 =
  28. 28.68763 ÷ 89 =
  29. 29.981 ÷ 8 =
  30. 30.127873 ÷ 989 =
  31. 31.111402 ÷ 997 =
  32. 32.908503 ÷ 988 =
  33. 33.3698 ÷ 8 =
  34. 34.9221 ÷ 97 =
  35. 35.27969 ÷ 88 =
  36. 36.165530 ÷ 988 =
  37. 37.6893 ÷ 97 =
  38. 38.29962 ÷ 97 =
  39. 39.5548 ÷ 89 =
  40. 40.39272 ÷ 96 =

Answer key

  1. 289 rem 635
  2. 174 rem 0
  3. 736 rem 913
  4. 942 rem 17
  5. 47 rem 684
  6. 403 rem 678
  7. 318 rem 91
  8. 235 rem 651
  9. 71 rem 395
  10. 243 rem 33
  11. 522 rem 318
  12. 956 rem 99
  13. 733 rem 246
  14. 206 rem 386
  15. 670 rem 9
  16. 223 rem 77
  17. 219 rem 104
  18. 974 rem 322
  19. 56 rem 38
  20. 104 rem 53
  21. 63 rem 476
  22. 917 rem 39
  23. 312 rem 46
  24. 726 rem 151
  25. 330 rem 17
  26. 159 rem 6
  27. 602 rem 4
  28. 772 rem 55
  29. 122 rem 5
  30. 129 rem 292
  31. 111 rem 735
  32. 919 rem 531
  33. 462 rem 2
  34. 95 rem 6
  35. 317 rem 73
  36. 167 rem 534
  37. 71 rem 6
  38. 308 rem 86
  39. 62 rem 30
  40. 409 rem 8

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