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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 671 · 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. 1.49895 ÷ 98 =
  2. 2.78972 ÷ 998 =
  3. 3.974247 ÷ 998 =
  4. 4.157131 ÷ 989 =
  5. 5.16741 ÷ 98 =
  6. 6.821857 ÷ 989 =
  7. 7.203967 ÷ 989 =
  8. 8.790563 ÷ 998 =
  9. 9.51732 ÷ 96 =
  10. 10.941428 ÷ 988 =
  11. 11.120574 ÷ 988 =
  12. 12.94357 ÷ 97 =
  13. 13.85988 ÷ 98 =
  14. 14.60002 ÷ 88 =
  15. 15.526054 ÷ 997 =
  16. 16.20937 ÷ 998 =
  17. 17.90357 ÷ 88 =
  18. 18.687215 ÷ 998 =
  19. 19.424624 ÷ 997 =
  20. 20.332473 ÷ 998 =
  21. 21.9638 ÷ 8 =
  22. 22.91012 ÷ 97 =
  23. 23.485569 ÷ 998 =
  24. 24.11617 ÷ 97 =
  25. 25.20984 ÷ 98 =
  26. 26.182539 ÷ 897 =
  27. 27.21607 ÷ 97 =
  28. 28.51050 ÷ 97 =
  29. 29.9400 ÷ 97 =
  30. 30.592047 ÷ 998 =
  31. 31.17667 ÷ 97 =
  32. 32.67840 ÷ 989 =
  33. 33.86814 ÷ 988 =
  34. 34.69418 ÷ 97 =
  35. 35.510730 ÷ 989 =
  36. 36.228643 ÷ 989 =
  37. 37.177853 ÷ 897 =
  38. 38.18185 ÷ 97 =
  39. 39.9352 ÷ 8 =
  40. 40.43460 ÷ 97 =

Answer key

  1. 509 rem 13
  2. 79 rem 130
  3. 976 rem 199
  4. 158 rem 869
  5. 170 rem 81
  6. 830 rem 987
  7. 206 rem 233
  8. 792 rem 147
  9. 538 rem 84
  10. 952 rem 852
  11. 122 rem 38
  12. 972 rem 73
  13. 877 rem 42
  14. 681 rem 74
  15. 527 rem 635
  16. 20 rem 977
  17. 1026 rem 69
  18. 688 rem 591
  19. 425 rem 899
  20. 333 rem 139
  21. 1204 rem 6
  22. 938 rem 26
  23. 486 rem 541
  24. 119 rem 74
  25. 214 rem 12
  26. 203 rem 448
  27. 222 rem 73
  28. 526 rem 28
  29. 96 rem 88
  30. 593 rem 233
  31. 182 rem 13
  32. 68 rem 588
  33. 87 rem 858
  34. 715 rem 63
  35. 516 rem 406
  36. 231 rem 184
  37. 198 rem 247
  38. 187 rem 46
  39. 1169 rem 0
  40. 448 rem 4

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