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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 243 · 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. 1.32149 ÷ 88 =
  2. 2.78505 ÷ 88 =
  3. 3.476652 ÷ 997 =
  4. 4.3484 ÷ 8 =
  5. 5.285179 ÷ 989 =
  6. 6.492274 ÷ 988 =
  7. 7.28351 ÷ 98 =
  8. 8.36334 ÷ 88 =
  9. 9.92070 ÷ 97 =
  10. 10.391975 ÷ 897 =
  11. 11.123141 ÷ 997 =
  12. 12.94729 ÷ 98 =
  13. 13.169796 ÷ 997 =
  14. 14.23411 ÷ 88 =
  15. 15.453510 ÷ 997 =
  16. 16.855457 ÷ 998 =
  17. 17.41989 ÷ 89 =
  18. 18.94006 ÷ 98 =
  19. 19.10475 ÷ 97 =
  20. 20.45652 ÷ 97 =
  21. 21.118409 ÷ 997 =
  22. 22.909315 ÷ 998 =
  23. 23.70310 ÷ 88 =
  24. 24.83383 ÷ 98 =
  25. 25.561009 ÷ 998 =
  26. 26.109762 ÷ 997 =
  27. 27.713634 ÷ 998 =
  28. 28.43898 ÷ 98 =
  29. 29.282512 ÷ 988 =
  30. 30.76955 ÷ 96 =
  31. 31.805731 ÷ 997 =
  32. 32.61224 ÷ 98 =
  33. 33.60997 ÷ 97 =
  34. 34.275050 ÷ 998 =
  35. 35.884814 ÷ 998 =
  36. 36.419584 ÷ 897 =
  37. 37.85059 ÷ 88 =
  38. 38.58444 ÷ 98 =
  39. 39.258049 ÷ 997 =
  40. 40.581079 ÷ 989 =

Answer key

  1. 365 rem 29
  2. 892 rem 9
  3. 478 rem 86
  4. 435 rem 4
  5. 288 rem 347
  6. 498 rem 250
  7. 289 rem 29
  8. 412 rem 78
  9. 949 rem 17
  10. 436 rem 883
  11. 123 rem 510
  12. 966 rem 61
  13. 170 rem 306
  14. 266 rem 3
  15. 454 rem 872
  16. 857 rem 171
  17. 471 rem 70
  18. 959 rem 24
  19. 107 rem 96
  20. 470 rem 62
  21. 118 rem 763
  22. 911 rem 137
  23. 798 rem 86
  24. 850 rem 83
  25. 562 rem 133
  26. 110 rem 92
  27. 715 rem 64
  28. 447 rem 92
  29. 285 rem 932
  30. 801 rem 59
  31. 808 rem 155
  32. 624 rem 72
  33. 628 rem 81
  34. 275 rem 600
  35. 886 rem 586
  36. 467 rem 685
  37. 966 rem 51
  38. 596 rem 36
  39. 258 rem 823
  40. 587 rem 536

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