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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 353 · 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. 1.1928 ÷ 8 =
  2. 2.56450 ÷ 98 =
  3. 3.236924 ÷ 897 =
  4. 4.7370 ÷ 8 =
  5. 5.282269 ÷ 988 =
  6. 6.83698 ÷ 88 =
  7. 7.59564 ÷ 89 =
  8. 8.2386 ÷ 8 =
  9. 9.121419 ÷ 897 =
  10. 10.714533 ÷ 988 =
  11. 11.22931 ÷ 98 =
  12. 12.923952 ÷ 897 =
  13. 13.897202 ÷ 989 =
  14. 14.96942 ÷ 96 =
  15. 15.62430 ÷ 96 =
  16. 16.196604 ÷ 997 =
  17. 17.3400 ÷ 8 =
  18. 18.273498 ÷ 988 =
  19. 19.25881 ÷ 97 =
  20. 20.16949 ÷ 98 =
  21. 21.54453 ÷ 96 =
  22. 22.111297 ÷ 989 =
  23. 23.1427 ÷ 8 =
  24. 24.56176 ÷ 89 =
  25. 25.204183 ÷ 897 =
  26. 26.494941 ÷ 897 =
  27. 27.593462 ÷ 997 =
  28. 28.379648 ÷ 998 =
  29. 29.896317 ÷ 897 =
  30. 30.991 ÷ 8 =
  31. 31.93020 ÷ 97 =
  32. 32.772236 ÷ 989 =
  33. 33.72829 ÷ 988 =
  34. 34.990 ÷ 8 =
  35. 35.587124 ÷ 989 =
  36. 36.6348 ÷ 8 =
  37. 37.14855 ÷ 96 =
  38. 38.75984 ÷ 98 =
  39. 39.28764 ÷ 97 =
  40. 40.78331 ÷ 97 =

Answer key

  1. 241 rem 0
  2. 576 rem 2
  3. 264 rem 116
  4. 921 rem 2
  5. 285 rem 689
  6. 951 rem 10
  7. 669 rem 23
  8. 298 rem 2
  9. 135 rem 324
  10. 723 rem 209
  11. 233 rem 97
  12. 1030 rem 42
  13. 907 rem 179
  14. 1009 rem 78
  15. 650 rem 30
  16. 197 rem 195
  17. 425 rem 0
  18. 276 rem 810
  19. 266 rem 79
  20. 172 rem 93
  21. 567 rem 21
  22. 112 rem 529
  23. 178 rem 3
  24. 631 rem 17
  25. 227 rem 564
  26. 551 rem 694
  27. 595 rem 247
  28. 380 rem 408
  29. 999 rem 214
  30. 123 rem 7
  31. 958 rem 94
  32. 780 rem 816
  33. 73 rem 705
  34. 123 rem 6
  35. 593 rem 647
  36. 793 rem 4
  37. 154 rem 71
  38. 775 rem 34
  39. 296 rem 52
  40. 807 rem 52

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