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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 795 · 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. 1.699551 ÷ 988 =
  2. 2.367914 ÷ 998 =
  3. 3.74582 ÷ 97 =
  4. 4.9975 ÷ 98 =
  5. 5.84256 ÷ 96 =
  6. 6.4172 ÷ 8 =
  7. 7.51092 ÷ 89 =
  8. 8.511571 ÷ 998 =
  9. 9.49451 ÷ 98 =
  10. 10.798479 ÷ 897 =
  11. 11.6948 ÷ 8 =
  12. 12.28334 ÷ 97 =
  13. 13.149320 ÷ 988 =
  14. 14.357421 ÷ 998 =
  15. 15.87394 ÷ 89 =
  16. 16.4933 ÷ 88 =
  17. 17.65957 ÷ 96 =
  18. 18.884576 ÷ 997 =
  19. 19.329179 ÷ 989 =
  20. 20.47361 ÷ 998 =
  21. 21.88784 ÷ 97 =
  22. 22.94040 ÷ 98 =
  23. 23.62550 ÷ 88 =
  24. 24.13533 ÷ 89 =
  25. 25.60046 ÷ 98 =
  26. 26.92154 ÷ 88 =
  27. 27.51915 ÷ 89 =
  28. 28.461749 ÷ 988 =
  29. 29.63062 ÷ 897 =
  30. 30.615425 ÷ 989 =
  31. 31.2662 ÷ 8 =
  32. 32.699385 ÷ 989 =
  33. 33.91309 ÷ 88 =
  34. 34.45185 ÷ 98 =
  35. 35.140392 ÷ 989 =
  36. 36.588394 ÷ 997 =
  37. 37.305075 ÷ 997 =
  38. 38.78126 ÷ 97 =
  39. 39.67981 ÷ 98 =
  40. 40.9322 ÷ 8 =

Answer key

  1. 708 rem 47
  2. 368 rem 650
  3. 768 rem 86
  4. 101 rem 77
  5. 877 rem 64
  6. 521 rem 4
  7. 574 rem 6
  8. 512 rem 595
  9. 504 rem 59
  10. 890 rem 149
  11. 868 rem 4
  12. 292 rem 10
  13. 151 rem 132
  14. 358 rem 137
  15. 981 rem 85
  16. 56 rem 5
  17. 687 rem 5
  18. 887 rem 237
  19. 332 rem 831
  20. 47 rem 455
  21. 915 rem 29
  22. 959 rem 58
  23. 710 rem 70
  24. 152 rem 5
  25. 612 rem 70
  26. 1047 rem 18
  27. 583 rem 28
  28. 467 rem 353
  29. 70 rem 272
  30. 622 rem 267
  31. 332 rem 6
  32. 707 rem 162
  33. 1037 rem 53
  34. 461 rem 7
  35. 141 rem 943
  36. 590 rem 164
  37. 305 rem 990
  38. 805 rem 41
  39. 693 rem 67
  40. 1165 rem 2

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