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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 540 · 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. 1.6577 ÷ 8 =
  2. 2.6893 ÷ 8 =
  3. 3.485296 ÷ 998 =
  4. 4.215798 ÷ 897 =
  5. 5.253939 ÷ 988 =
  6. 6.76077 ÷ 98 =
  7. 7.70442 ÷ 88 =
  8. 8.34187 ÷ 89 =
  9. 9.193749 ÷ 988 =
  10. 10.43004 ÷ 88 =
  11. 11.28760 ÷ 89 =
  12. 12.68256 ÷ 89 =
  13. 13.19441 ÷ 96 =
  14. 14.11218 ÷ 88 =
  15. 15.900082 ÷ 988 =
  16. 16.14666 ÷ 89 =
  17. 17.1235 ÷ 96 =
  18. 18.74994 ÷ 97 =
  19. 19.44875 ÷ 97 =
  20. 20.77491 ÷ 89 =
  21. 21.298271 ÷ 988 =
  22. 22.237125 ÷ 897 =
  23. 23.962667 ÷ 897 =
  24. 24.1637 ÷ 96 =
  25. 25.36350 ÷ 97 =
  26. 26.53758 ÷ 998 =
  27. 27.80965 ÷ 89 =
  28. 28.95691 ÷ 97 =
  29. 29.452252 ÷ 989 =
  30. 30.354104 ÷ 897 =
  31. 31.426524 ÷ 989 =
  32. 32.22017 ÷ 88 =
  33. 33.14627 ÷ 96 =
  34. 34.6087 ÷ 8 =
  35. 35.383365 ÷ 997 =
  36. 36.99793 ÷ 89 =
  37. 37.11433 ÷ 89 =
  38. 38.659943 ÷ 997 =
  39. 39.53177 ÷ 96 =
  40. 40.48580 ÷ 97 =

Answer key

  1. 822 rem 1
  2. 861 rem 5
  3. 486 rem 268
  4. 240 rem 518
  5. 257 rem 23
  6. 776 rem 29
  7. 800 rem 42
  8. 384 rem 11
  9. 196 rem 101
  10. 488 rem 60
  11. 323 rem 13
  12. 766 rem 82
  13. 202 rem 49
  14. 127 rem 42
  15. 911 rem 14
  16. 164 rem 70
  17. 12 rem 83
  18. 773 rem 13
  19. 462 rem 61
  20. 870 rem 61
  21. 301 rem 883
  22. 264 rem 317
  23. 1073 rem 186
  24. 17 rem 5
  25. 374 rem 72
  26. 53 rem 864
  27. 909 rem 64
  28. 986 rem 49
  29. 457 rem 279
  30. 394 rem 686
  31. 431 rem 265
  32. 250 rem 17
  33. 152 rem 35
  34. 760 rem 7
  35. 384 rem 517
  36. 1121 rem 24
  37. 128 rem 41
  38. 661 rem 926
  39. 553 rem 89
  40. 500 rem 80

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