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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 730 · 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. 1.26748 ÷ 88 =
  2. 2.1666 ÷ 8 =
  3. 3.46845 ÷ 98 =
  4. 4.5933 ÷ 8 =
  5. 5.218 ÷ 8 =
  6. 6.136757 ÷ 897 =
  7. 7.96136 ÷ 89 =
  8. 8.447136 ÷ 988 =
  9. 9.82277 ÷ 98 =
  10. 10.769291 ÷ 897 =
  11. 11.46521 ÷ 89 =
  12. 12.5687 ÷ 8 =
  13. 13.38303 ÷ 89 =
  14. 14.3324 ÷ 8 =
  15. 15.57121 ÷ 97 =
  16. 16.89372 ÷ 96 =
  17. 17.855073 ÷ 897 =
  18. 18.72739 ÷ 98 =
  19. 19.15399 ÷ 98 =
  20. 20.963040 ÷ 988 =
  21. 21.8179 ÷ 8 =
  22. 22.550342 ÷ 998 =
  23. 23.748421 ÷ 998 =
  24. 24.200425 ÷ 897 =
  25. 25.70373 ÷ 88 =
  26. 26.26700 ÷ 96 =
  27. 27.753486 ÷ 988 =
  28. 28.475417 ÷ 897 =
  29. 29.53305 ÷ 88 =
  30. 30.95657 ÷ 89 =
  31. 31.80354 ÷ 88 =
  32. 32.20356 ÷ 97 =
  33. 33.207550 ÷ 997 =
  34. 34.500736 ÷ 997 =
  35. 35.92700 ÷ 89 =
  36. 36.9246 ÷ 8 =
  37. 37.36400 ÷ 88 =
  38. 38.92334 ÷ 96 =
  39. 39.52130 ÷ 96 =
  40. 40.45072 ÷ 96 =

Answer key

  1. 303 rem 84
  2. 208 rem 2
  3. 478 rem 1
  4. 741 rem 5
  5. 27 rem 2
  6. 152 rem 413
  7. 1080 rem 16
  8. 452 rem 560
  9. 839 rem 55
  10. 857 rem 562
  11. 522 rem 63
  12. 710 rem 7
  13. 430 rem 33
  14. 415 rem 4
  15. 588 rem 85
  16. 930 rem 92
  17. 953 rem 232
  18. 742 rem 23
  19. 157 rem 13
  20. 974 rem 728
  21. 1022 rem 3
  22. 551 rem 444
  23. 749 rem 919
  24. 223 rem 394
  25. 799 rem 61
  26. 278 rem 12
  27. 762 rem 630
  28. 530 rem 7
  29. 605 rem 65
  30. 1074 rem 71
  31. 913 rem 10
  32. 209 rem 83
  33. 208 rem 174
  34. 502 rem 242
  35. 1041 rem 51
  36. 1155 rem 6
  37. 413 rem 56
  38. 961 rem 78
  39. 543 rem 2
  40. 469 rem 48

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