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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 538 · 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. 1.2033 ÷ 8 =
  2. 2.588483 ÷ 998 =
  3. 3.259554 ÷ 997 =
  4. 4.90675 ÷ 89 =
  5. 5.693489 ÷ 897 =
  6. 6.71462 ÷ 88 =
  7. 7.98973 ÷ 88 =
  8. 8.185899 ÷ 997 =
  9. 9.69698 ÷ 98 =
  10. 10.334316 ÷ 988 =
  11. 11.231767 ÷ 998 =
  12. 12.70125 ÷ 97 =
  13. 13.51979 ÷ 89 =
  14. 14.359495 ÷ 998 =
  15. 15.627567 ÷ 997 =
  16. 16.2884 ÷ 8 =
  17. 17.19158 ÷ 897 =
  18. 18.83336 ÷ 97 =
  19. 19.106502 ÷ 997 =
  20. 20.224733 ÷ 998 =
  21. 21.42404 ÷ 89 =
  22. 22.20081 ÷ 989 =
  23. 23.442917 ÷ 998 =
  24. 24.8357 ÷ 89 =
  25. 25.556168 ÷ 989 =
  26. 26.90376 ÷ 96 =
  27. 27.17154 ÷ 89 =
  28. 28.8234 ÷ 88 =
  29. 29.749797 ÷ 897 =
  30. 30.2625 ÷ 8 =
  31. 31.9383 ÷ 96 =
  32. 32.23001 ÷ 98 =
  33. 33.61314 ÷ 96 =
  34. 34.11516 ÷ 988 =
  35. 35.41781 ÷ 89 =
  36. 36.24789 ÷ 97 =
  37. 37.924396 ÷ 988 =
  38. 38.78710 ÷ 88 =
  39. 39.57750 ÷ 89 =
  40. 40.916214 ÷ 997 =

Answer key

  1. 254 rem 1
  2. 589 rem 661
  3. 260 rem 334
  4. 1018 rem 73
  5. 773 rem 108
  6. 812 rem 6
  7. 1124 rem 61
  8. 186 rem 457
  9. 711 rem 20
  10. 338 rem 372
  11. 232 rem 231
  12. 722 rem 91
  13. 584 rem 3
  14. 360 rem 215
  15. 629 rem 454
  16. 360 rem 4
  17. 21 rem 321
  18. 859 rem 13
  19. 106 rem 820
  20. 225 rem 183
  21. 476 rem 40
  22. 20 rem 301
  23. 443 rem 803
  24. 93 rem 80
  25. 562 rem 350
  26. 941 rem 40
  27. 192 rem 66
  28. 93 rem 50
  29. 835 rem 802
  30. 328 rem 1
  31. 97 rem 71
  32. 234 rem 69
  33. 638 rem 66
  34. 11 rem 648
  35. 469 rem 40
  36. 255 rem 54
  37. 935 rem 616
  38. 894 rem 38
  39. 648 rem 78
  40. 918 rem 968

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