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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 254 · 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. 1.46858 ÷ 96 =
  2. 2.45689 ÷ 988 =
  3. 3.378742 ÷ 989 =
  4. 4.498315 ÷ 998 =
  5. 5.12561 ÷ 97 =
  6. 6.2797 ÷ 8 =
  7. 7.40526 ÷ 97 =
  8. 8.658440 ÷ 988 =
  9. 9.53031 ÷ 998 =
  10. 10.145041 ÷ 989 =
  11. 11.784 ÷ 8 =
  12. 12.951844 ÷ 989 =
  13. 13.38107 ÷ 97 =
  14. 14.17463 ÷ 98 =
  15. 15.44408 ÷ 98 =
  16. 16.803844 ÷ 897 =
  17. 17.95362 ÷ 998 =
  18. 18.694 ÷ 8 =
  19. 19.163833 ÷ 998 =
  20. 20.45534 ÷ 97 =
  21. 21.155556 ÷ 998 =
  22. 22.1483 ÷ 8 =
  23. 23.55633 ÷ 988 =
  24. 24.62377 ÷ 89 =
  25. 25.86649 ÷ 89 =
  26. 26.79540 ÷ 96 =
  27. 27.3381 ÷ 88 =
  28. 28.18427 ÷ 88 =
  29. 29.37090 ÷ 998 =
  30. 30.34429 ÷ 98 =
  31. 31.74805 ÷ 96 =
  32. 32.129405 ÷ 897 =
  33. 33.19434 ÷ 988 =
  34. 34.58742 ÷ 97 =
  35. 35.1202 ÷ 88 =
  36. 36.7123 ÷ 8 =
  37. 37.232050 ÷ 989 =
  38. 38.632320 ÷ 989 =
  39. 39.32539 ÷ 88 =
  40. 40.962469 ÷ 988 =

Answer key

  1. 488 rem 10
  2. 46 rem 241
  3. 382 rem 944
  4. 499 rem 313
  5. 129 rem 48
  6. 349 rem 5
  7. 417 rem 77
  8. 666 rem 432
  9. 53 rem 137
  10. 146 rem 647
  11. 98 rem 0
  12. 962 rem 426
  13. 392 rem 83
  14. 178 rem 19
  15. 453 rem 14
  16. 896 rem 132
  17. 95 rem 552
  18. 86 rem 6
  19. 164 rem 161
  20. 469 rem 41
  21. 155 rem 866
  22. 185 rem 3
  23. 56 rem 305
  24. 700 rem 77
  25. 973 rem 52
  26. 828 rem 52
  27. 38 rem 37
  28. 209 rem 35
  29. 37 rem 164
  30. 351 rem 31
  31. 779 rem 21
  32. 144 rem 237
  33. 19 rem 662
  34. 605 rem 57
  35. 13 rem 58
  36. 890 rem 3
  37. 234 rem 624
  38. 639 rem 349
  39. 369 rem 67
  40. 974 rem 157

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