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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 130 · 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. 1.98724 ÷ 97 =
  2. 2.121193 ÷ 897 =
  3. 3.7172 ÷ 8 =
  4. 4.52082 ÷ 88 =
  5. 5.716587 ÷ 997 =
  6. 6.5007 ÷ 8 =
  7. 7.784189 ÷ 988 =
  8. 8.920096 ÷ 998 =
  9. 9.662821 ÷ 897 =
  10. 10.49378 ÷ 98 =
  11. 11.7308 ÷ 8 =
  12. 12.69840 ÷ 88 =
  13. 13.46681 ÷ 89 =
  14. 14.41947 ÷ 98 =
  15. 15.415308 ÷ 988 =
  16. 16.2325 ÷ 8 =
  17. 17.10184 ÷ 98 =
  18. 18.19569 ÷ 96 =
  19. 19.221748 ÷ 998 =
  20. 20.88439 ÷ 89 =
  21. 21.810644 ÷ 998 =
  22. 22.929623 ÷ 988 =
  23. 23.29358 ÷ 89 =
  24. 24.6171 ÷ 8 =
  25. 25.82131 ÷ 96 =
  26. 26.7963 ÷ 8 =
  27. 27.908549 ÷ 989 =
  28. 28.94444 ÷ 96 =
  29. 29.265711 ÷ 998 =
  30. 30.21640 ÷ 88 =
  31. 31.20936 ÷ 897 =
  32. 32.98704 ÷ 97 =
  33. 33.207831 ÷ 997 =
  34. 34.2398 ÷ 8 =
  35. 35.29068 ÷ 98 =
  36. 36.32192 ÷ 88 =
  37. 37.4240 ÷ 8 =
  38. 38.4285 ÷ 96 =
  39. 39.8836 ÷ 8 =
  40. 40.122319 ÷ 989 =

Answer key

  1. 1017 rem 75
  2. 135 rem 98
  3. 896 rem 4
  4. 591 rem 74
  5. 718 rem 741
  6. 625 rem 7
  7. 793 rem 705
  8. 921 rem 938
  9. 738 rem 835
  10. 503 rem 84
  11. 913 rem 4
  12. 793 rem 56
  13. 524 rem 45
  14. 428 rem 3
  15. 420 rem 348
  16. 290 rem 5
  17. 103 rem 90
  18. 203 rem 81
  19. 222 rem 192
  20. 993 rem 62
  21. 812 rem 268
  22. 940 rem 903
  23. 329 rem 77
  24. 771 rem 3
  25. 855 rem 51
  26. 995 rem 3
  27. 918 rem 647
  28. 983 rem 76
  29. 266 rem 243
  30. 245 rem 80
  31. 23 rem 305
  32. 1017 rem 55
  33. 208 rem 455
  34. 299 rem 6
  35. 296 rem 60
  36. 365 rem 72
  37. 530 rem 0
  38. 44 rem 61
  39. 1104 rem 4
  40. 123 rem 672

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