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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 708 · 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. 1.244922 ÷ 897 =
  2. 2.881288 ÷ 989 =
  3. 3.41268 ÷ 98 =
  4. 4.923259 ÷ 897 =
  5. 5.317691 ÷ 988 =
  6. 6.963067 ÷ 997 =
  7. 7.12107 ÷ 96 =
  8. 8.57070 ÷ 89 =
  9. 9.91020 ÷ 989 =
  10. 10.90633 ÷ 97 =
  11. 11.853838 ÷ 997 =
  12. 12.26893 ÷ 97 =
  13. 13.422851 ÷ 998 =
  14. 14.3598 ÷ 8 =
  15. 15.544002 ÷ 989 =
  16. 16.61532 ÷ 97 =
  17. 17.592050 ÷ 988 =
  18. 18.200286 ÷ 989 =
  19. 19.67396 ÷ 89 =
  20. 20.2540 ÷ 8 =
  21. 21.92310 ÷ 97 =
  22. 22.12320 ÷ 97 =
  23. 23.146202 ÷ 997 =
  24. 24.40793 ÷ 98 =
  25. 25.10957 ÷ 97 =
  26. 26.2362 ÷ 89 =
  27. 27.8635 ÷ 98 =
  28. 28.170775 ÷ 997 =
  29. 29.215305 ÷ 988 =
  30. 30.311844 ÷ 997 =
  31. 31.89613 ÷ 98 =
  32. 32.99226 ÷ 98 =
  33. 33.62139 ÷ 97 =
  34. 34.2741 ÷ 96 =
  35. 35.55915 ÷ 96 =
  36. 36.34440 ÷ 96 =
  37. 37.999410 ÷ 897 =
  38. 38.5665 ÷ 8 =
  39. 39.9652 ÷ 89 =
  40. 40.85173 ÷ 89 =

Answer key

  1. 273 rem 41
  2. 891 rem 89
  3. 421 rem 10
  4. 1029 rem 246
  5. 321 rem 543
  6. 965 rem 962
  7. 126 rem 11
  8. 641 rem 21
  9. 92 rem 32
  10. 934 rem 35
  11. 856 rem 406
  12. 277 rem 24
  13. 423 rem 697
  14. 449 rem 6
  15. 550 rem 52
  16. 634 rem 34
  17. 599 rem 238
  18. 202 rem 508
  19. 757 rem 23
  20. 317 rem 4
  21. 951 rem 63
  22. 127 rem 1
  23. 146 rem 640
  24. 416 rem 25
  25. 112 rem 93
  26. 26 rem 48
  27. 88 rem 11
  28. 171 rem 288
  29. 217 rem 909
  30. 312 rem 780
  31. 914 rem 41
  32. 1012 rem 50
  33. 640 rem 59
  34. 28 rem 53
  35. 582 rem 43
  36. 358 rem 72
  37. 1114 rem 152
  38. 708 rem 1
  39. 108 rem 40
  40. 957 rem 0

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