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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 69 · 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. 1.34968 ÷ 89 =
  2. 2.62503 ÷ 97 =
  3. 3.9775 ÷ 8 =
  4. 4.513333 ÷ 988 =
  5. 5.202185 ÷ 988 =
  6. 6.6869 ÷ 8 =
  7. 7.11090 ÷ 88 =
  8. 8.555951 ÷ 989 =
  9. 9.959920 ÷ 989 =
  10. 10.88351 ÷ 89 =
  11. 11.9743 ÷ 8 =
  12. 12.808 ÷ 8 =
  13. 13.58272 ÷ 97 =
  14. 14.4286 ÷ 8 =
  15. 15.25114 ÷ 96 =
  16. 16.603111 ÷ 997 =
  17. 17.27569 ÷ 98 =
  18. 18.56041 ÷ 98 =
  19. 19.336942 ÷ 997 =
  20. 20.517611 ÷ 998 =
  21. 21.611200 ÷ 897 =
  22. 22.673282 ÷ 989 =
  23. 23.850365 ÷ 997 =
  24. 24.333567 ÷ 988 =
  25. 25.1019 ÷ 8 =
  26. 26.656055 ÷ 897 =
  27. 27.914561 ÷ 988 =
  28. 28.1453 ÷ 8 =
  29. 29.88926 ÷ 97 =
  30. 30.9334 ÷ 8 =
  31. 31.99081 ÷ 98 =
  32. 32.64251 ÷ 98 =
  33. 33.806351 ÷ 989 =
  34. 34.34935 ÷ 89 =
  35. 35.916331 ÷ 989 =
  36. 36.55915 ÷ 98 =
  37. 37.69424 ÷ 88 =
  38. 38.158325 ÷ 998 =
  39. 39.272547 ÷ 989 =
  40. 40.474101 ÷ 988 =

Answer key

  1. 392 rem 80
  2. 644 rem 35
  3. 1221 rem 7
  4. 519 rem 561
  5. 204 rem 633
  6. 858 rem 5
  7. 126 rem 2
  8. 562 rem 133
  9. 970 rem 590
  10. 992 rem 63
  11. 1217 rem 7
  12. 101 rem 0
  13. 600 rem 72
  14. 535 rem 6
  15. 261 rem 58
  16. 604 rem 923
  17. 281 rem 31
  18. 571 rem 83
  19. 337 rem 953
  20. 518 rem 647
  21. 681 rem 343
  22. 680 rem 762
  23. 852 rem 921
  24. 337 rem 611
  25. 127 rem 3
  26. 731 rem 348
  27. 925 rem 661
  28. 181 rem 5
  29. 916 rem 74
  30. 1166 rem 6
  31. 1011 rem 3
  32. 655 rem 61
  33. 815 rem 316
  34. 392 rem 47
  35. 926 rem 517
  36. 570 rem 55
  37. 788 rem 80
  38. 158 rem 641
  39. 275 rem 572
  40. 479 rem 849

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