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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 20 · 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. 1.22272 ÷ 97 =
  2. 2.32170 ÷ 98 =
  3. 3.80939 ÷ 96 =
  4. 4.92009 ÷ 89 =
  5. 5.537371 ÷ 989 =
  6. 6.98011 ÷ 96 =
  7. 7.64935 ÷ 98 =
  8. 8.529803 ÷ 998 =
  9. 9.269941 ÷ 998 =
  10. 10.27187 ÷ 98 =
  11. 11.796998 ÷ 897 =
  12. 12.55348 ÷ 96 =
  13. 13.60150 ÷ 98 =
  14. 14.60335 ÷ 98 =
  15. 15.257069 ÷ 988 =
  16. 16.69720 ÷ 97 =
  17. 17.424984 ÷ 989 =
  18. 18.53286 ÷ 97 =
  19. 19.402768 ÷ 989 =
  20. 20.24684 ÷ 97 =
  21. 21.3047 ÷ 88 =
  22. 22.775708 ÷ 997 =
  23. 23.743492 ÷ 989 =
  24. 24.874437 ÷ 897 =
  25. 25.77920 ÷ 89 =
  26. 26.310389 ÷ 998 =
  27. 27.33941 ÷ 97 =
  28. 28.14196 ÷ 88 =
  29. 29.617687 ÷ 989 =
  30. 30.18388 ÷ 89 =
  31. 31.7284 ÷ 8 =
  32. 32.903116 ÷ 989 =
  33. 33.179426 ÷ 997 =
  34. 34.92455 ÷ 97 =
  35. 35.344801 ÷ 988 =
  36. 36.812256 ÷ 897 =
  37. 37.288173 ÷ 897 =
  38. 38.748471 ÷ 897 =
  39. 39.54585 ÷ 97 =
  40. 40.77551 ÷ 89 =

Answer key

  1. 229 rem 59
  2. 328 rem 26
  3. 843 rem 11
  4. 1033 rem 72
  5. 543 rem 344
  6. 1020 rem 91
  7. 662 rem 59
  8. 530 rem 863
  9. 270 rem 481
  10. 277 rem 41
  11. 888 rem 462
  12. 576 rem 52
  13. 613 rem 76
  14. 615 rem 65
  15. 260 rem 189
  16. 718 rem 74
  17. 429 rem 703
  18. 549 rem 33
  19. 407 rem 245
  20. 254 rem 46
  21. 34 rem 55
  22. 778 rem 42
  23. 751 rem 753
  24. 974 rem 759
  25. 875 rem 45
  26. 311 rem 11
  27. 349 rem 88
  28. 161 rem 28
  29. 624 rem 551
  30. 206 rem 54
  31. 910 rem 4
  32. 913 rem 159
  33. 179 rem 963
  34. 953 rem 14
  35. 348 rem 977
  36. 905 rem 471
  37. 321 rem 236
  38. 834 rem 373
  39. 562 rem 71
  40. 871 rem 32

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