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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 997 · 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. 1.141892 ÷ 897 =
  2. 2.705419 ÷ 897 =
  3. 3.97060 ÷ 97 =
  4. 4.6248 ÷ 8 =
  5. 5.1014 ÷ 8 =
  6. 6.57672 ÷ 96 =
  7. 7.60728 ÷ 98 =
  8. 8.29573 ÷ 97 =
  9. 9.85163 ÷ 98 =
  10. 10.447214 ÷ 998 =
  11. 11.81962 ÷ 96 =
  12. 12.5447 ÷ 8 =
  13. 13.31030 ÷ 97 =
  14. 14.657612 ÷ 988 =
  15. 15.227907 ÷ 998 =
  16. 16.17774 ÷ 98 =
  17. 17.209223 ÷ 988 =
  18. 18.123881 ÷ 998 =
  19. 19.36570 ÷ 97 =
  20. 20.2111 ÷ 8 =
  21. 21.51319 ÷ 97 =
  22. 22.231400 ÷ 989 =
  23. 23.90982 ÷ 89 =
  24. 24.70035 ÷ 89 =
  25. 25.94849 ÷ 98 =
  26. 26.26507 ÷ 88 =
  27. 27.3939 ÷ 8 =
  28. 28.97349 ÷ 98 =
  29. 29.46148 ÷ 89 =
  30. 30.406362 ÷ 897 =
  31. 31.59232 ÷ 97 =
  32. 32.13171 ÷ 89 =
  33. 33.987122 ÷ 988 =
  34. 34.129236 ÷ 988 =
  35. 35.20214 ÷ 88 =
  36. 36.36815 ÷ 897 =
  37. 37.530755 ÷ 997 =
  38. 38.66588 ÷ 89 =
  39. 39.239005 ÷ 998 =
  40. 40.720038 ÷ 997 =

Answer key

  1. 158 rem 166
  2. 786 rem 377
  3. 1000 rem 60
  4. 781 rem 0
  5. 126 rem 6
  6. 600 rem 72
  7. 619 rem 66
  8. 304 rem 85
  9. 869 rem 1
  10. 448 rem 110
  11. 853 rem 74
  12. 680 rem 7
  13. 319 rem 87
  14. 665 rem 592
  15. 228 rem 363
  16. 181 rem 36
  17. 211 rem 755
  18. 124 rem 129
  19. 377 rem 1
  20. 263 rem 7
  21. 529 rem 6
  22. 233 rem 963
  23. 1022 rem 24
  24. 786 rem 81
  25. 967 rem 83
  26. 301 rem 19
  27. 492 rem 3
  28. 993 rem 35
  29. 518 rem 46
  30. 453 rem 21
  31. 610 rem 62
  32. 147 rem 88
  33. 999 rem 110
  34. 130 rem 796
  35. 229 rem 62
  36. 41 rem 38
  37. 532 rem 351
  38. 748 rem 16
  39. 239 rem 483
  40. 722 rem 204

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