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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 7 · 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. 1.3221 ÷ 8 =
  2. 2.65840 ÷ 98 =
  3. 3.945319 ÷ 897 =
  4. 4.2185 ÷ 98 =
  5. 5.965015 ÷ 997 =
  6. 6.87642 ÷ 897 =
  7. 7.35983 ÷ 98 =
  8. 8.182236 ÷ 997 =
  9. 9.147588 ÷ 998 =
  10. 10.4048 ÷ 8 =
  11. 11.45412 ÷ 96 =
  12. 12.35540 ÷ 96 =
  13. 13.64852 ÷ 97 =
  14. 14.124239 ÷ 998 =
  15. 15.1099 ÷ 8 =
  16. 16.9024 ÷ 8 =
  17. 17.88003 ÷ 89 =
  18. 18.12499 ÷ 96 =
  19. 19.52628 ÷ 98 =
  20. 20.415170 ÷ 988 =
  21. 21.4825 ÷ 8 =
  22. 22.5235 ÷ 8 =
  23. 23.20258 ÷ 997 =
  24. 24.961297 ÷ 989 =
  25. 25.29663 ÷ 98 =
  26. 26.321059 ÷ 998 =
  27. 27.5297 ÷ 8 =
  28. 28.343993 ÷ 997 =
  29. 29.27025 ÷ 98 =
  30. 30.31939 ÷ 89 =
  31. 31.31184 ÷ 97 =
  32. 32.13910 ÷ 96 =
  33. 33.63767 ÷ 97 =
  34. 34.80444 ÷ 89 =
  35. 35.8230 ÷ 88 =
  36. 36.27259 ÷ 97 =
  37. 37.632278 ÷ 988 =
  38. 38.19139 ÷ 89 =
  39. 39.65655 ÷ 98 =
  40. 40.6112 ÷ 8 =

Answer key

  1. 402 rem 5
  2. 671 rem 82
  3. 1053 rem 778
  4. 22 rem 29
  5. 967 rem 916
  6. 97 rem 633
  7. 367 rem 17
  8. 182 rem 782
  9. 147 rem 882
  10. 506 rem 0
  11. 473 rem 4
  12. 370 rem 20
  13. 668 rem 56
  14. 124 rem 487
  15. 137 rem 3
  16. 1128 rem 0
  17. 988 rem 71
  18. 130 rem 19
  19. 537 rem 2
  20. 420 rem 210
  21. 603 rem 1
  22. 654 rem 3
  23. 20 rem 318
  24. 971 rem 978
  25. 302 rem 67
  26. 321 rem 701
  27. 662 rem 1
  28. 345 rem 28
  29. 275 rem 75
  30. 358 rem 77
  31. 321 rem 47
  32. 144 rem 86
  33. 657 rem 38
  34. 903 rem 77
  35. 93 rem 46
  36. 281 rem 2
  37. 639 rem 946
  38. 215 rem 4
  39. 669 rem 93
  40. 764 rem 0

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