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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 710 · 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. 1.312255 ÷ 998 =
  2. 2.32624 ÷ 96 =
  3. 3.847239 ÷ 998 =
  4. 4.57667 ÷ 97 =
  5. 5.32643 ÷ 897 =
  6. 6.177161 ÷ 989 =
  7. 7.97189 ÷ 88 =
  8. 8.248645 ÷ 998 =
  9. 9.10028 ÷ 98 =
  10. 10.797699 ÷ 997 =
  11. 11.105488 ÷ 998 =
  12. 12.71251 ÷ 98 =
  13. 13.57157 ÷ 98 =
  14. 14.49149 ÷ 89 =
  15. 15.14010 ÷ 97 =
  16. 16.21588 ÷ 96 =
  17. 17.5753 ÷ 89 =
  18. 18.409848 ÷ 989 =
  19. 19.4292 ÷ 88 =
  20. 20.14215 ÷ 96 =
  21. 21.310206 ÷ 997 =
  22. 22.157036 ÷ 897 =
  23. 23.22261 ÷ 89 =
  24. 24.3172 ÷ 96 =
  25. 25.17969 ÷ 98 =
  26. 26.75308 ÷ 997 =
  27. 27.13732 ÷ 97 =
  28. 28.4212 ÷ 8 =
  29. 29.400953 ÷ 998 =
  30. 30.576551 ÷ 997 =
  31. 31.55523 ÷ 89 =
  32. 32.50259 ÷ 96 =
  33. 33.46630 ÷ 989 =
  34. 34.892018 ÷ 988 =
  35. 35.486021 ÷ 988 =
  36. 36.95381 ÷ 96 =
  37. 37.704931 ÷ 988 =
  38. 38.72042 ÷ 89 =
  39. 39.60691 ÷ 88 =
  40. 40.24077 ÷ 88 =

Answer key

  1. 312 rem 879
  2. 339 rem 80
  3. 848 rem 935
  4. 594 rem 49
  5. 36 rem 351
  6. 179 rem 130
  7. 1104 rem 37
  8. 249 rem 143
  9. 102 rem 32
  10. 800 rem 99
  11. 105 rem 698
  12. 727 rem 5
  13. 583 rem 23
  14. 552 rem 21
  15. 144 rem 42
  16. 224 rem 84
  17. 64 rem 57
  18. 414 rem 402
  19. 48 rem 68
  20. 148 rem 7
  21. 311 rem 139
  22. 175 rem 61
  23. 250 rem 11
  24. 33 rem 4
  25. 183 rem 35
  26. 75 rem 533
  27. 141 rem 55
  28. 526 rem 4
  29. 401 rem 755
  30. 578 rem 285
  31. 623 rem 76
  32. 523 rem 51
  33. 47 rem 147
  34. 902 rem 842
  35. 491 rem 913
  36. 993 rem 53
  37. 713 rem 487
  38. 809 rem 41
  39. 689 rem 59
  40. 273 rem 53

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