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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 469 · 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. 1.35200 ÷ 97 =
  2. 2.31260 ÷ 98 =
  3. 3.3553 ÷ 96 =
  4. 4.939517 ÷ 997 =
  5. 5.64753 ÷ 96 =
  6. 6.97918 ÷ 88 =
  7. 7.28195 ÷ 96 =
  8. 8.32705 ÷ 96 =
  9. 9.8101 ÷ 88 =
  10. 10.158995 ÷ 988 =
  11. 11.13969 ÷ 89 =
  12. 12.2449 ÷ 8 =
  13. 13.209971 ÷ 998 =
  14. 14.49764 ÷ 997 =
  15. 15.21835 ÷ 97 =
  16. 16.234499 ÷ 998 =
  17. 17.700915 ÷ 897 =
  18. 18.87214 ÷ 88 =
  19. 19.63269 ÷ 98 =
  20. 20.45389 ÷ 88 =
  21. 21.843308 ÷ 897 =
  22. 22.98857 ÷ 98 =
  23. 23.58286 ÷ 89 =
  24. 24.262390 ÷ 988 =
  25. 25.5203 ÷ 8 =
  26. 26.65190 ÷ 89 =
  27. 27.60044 ÷ 88 =
  28. 28.741778 ÷ 997 =
  29. 29.353854 ÷ 989 =
  30. 30.52344 ÷ 88 =
  31. 31.6061 ÷ 8 =
  32. 32.589131 ÷ 998 =
  33. 33.329715 ÷ 988 =
  34. 34.92905 ÷ 997 =
  35. 35.713756 ÷ 998 =
  36. 36.63681 ÷ 88 =
  37. 37.417 ÷ 8 =
  38. 38.24739 ÷ 88 =
  39. 39.715096 ÷ 997 =
  40. 40.13649 ÷ 88 =

Answer key

  1. 362 rem 86
  2. 318 rem 96
  3. 37 rem 1
  4. 942 rem 343
  5. 674 rem 49
  6. 1112 rem 62
  7. 293 rem 67
  8. 340 rem 65
  9. 92 rem 5
  10. 160 rem 915
  11. 156 rem 85
  12. 306 rem 1
  13. 210 rem 391
  14. 49 rem 911
  15. 225 rem 10
  16. 234 rem 967
  17. 781 rem 358
  18. 991 rem 6
  19. 645 rem 59
  20. 515 rem 69
  21. 940 rem 128
  22. 1008 rem 73
  23. 654 rem 80
  24. 265 rem 570
  25. 650 rem 3
  26. 732 rem 42
  27. 682 rem 28
  28. 744 rem 10
  29. 357 rem 781
  30. 594 rem 72
  31. 757 rem 5
  32. 590 rem 311
  33. 333 rem 711
  34. 93 rem 184
  35. 715 rem 186
  36. 723 rem 57
  37. 52 rem 1
  38. 281 rem 11
  39. 717 rem 247
  40. 155 rem 9

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