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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 940 · 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. 1.29579 ÷ 97 =
  2. 2.339798 ÷ 989 =
  3. 3.94881 ÷ 96 =
  4. 4.174609 ÷ 998 =
  5. 5.443159 ÷ 988 =
  6. 6.9676 ÷ 8 =
  7. 7.197427 ÷ 989 =
  8. 8.181217 ÷ 997 =
  9. 9.410073 ÷ 998 =
  10. 10.742489 ÷ 897 =
  11. 11.85492 ÷ 989 =
  12. 12.7873 ÷ 88 =
  13. 13.11665 ÷ 89 =
  14. 14.18975 ÷ 96 =
  15. 15.33088 ÷ 98 =
  16. 16.407920 ÷ 997 =
  17. 17.46847 ÷ 897 =
  18. 18.673580 ÷ 998 =
  19. 19.23583 ÷ 96 =
  20. 20.278791 ÷ 997 =
  21. 21.9146 ÷ 8 =
  22. 22.822574 ÷ 897 =
  23. 23.4769 ÷ 8 =
  24. 24.78635 ÷ 88 =
  25. 25.72670 ÷ 98 =
  26. 26.418048 ÷ 989 =
  27. 27.4771 ÷ 8 =
  28. 28.790423 ÷ 897 =
  29. 29.51296 ÷ 997 =
  30. 30.542581 ÷ 897 =
  31. 31.207044 ÷ 988 =
  32. 32.99043 ÷ 97 =
  33. 33.36069 ÷ 88 =
  34. 34.10263 ÷ 989 =
  35. 35.1183 ÷ 8 =
  36. 36.61182 ÷ 96 =
  37. 37.21325 ÷ 89 =
  38. 38.5241 ÷ 8 =
  39. 39.75941 ÷ 988 =
  40. 40.59521 ÷ 96 =

Answer key

  1. 304 rem 91
  2. 343 rem 571
  3. 988 rem 33
  4. 174 rem 957
  5. 448 rem 535
  6. 1209 rem 4
  7. 199 rem 616
  8. 181 rem 760
  9. 410 rem 893
  10. 827 rem 670
  11. 86 rem 438
  12. 89 rem 41
  13. 131 rem 6
  14. 197 rem 63
  15. 337 rem 62
  16. 409 rem 147
  17. 52 rem 203
  18. 674 rem 928
  19. 245 rem 63
  20. 279 rem 628
  21. 1143 rem 2
  22. 917 rem 25
  23. 596 rem 1
  24. 893 rem 51
  25. 741 rem 52
  26. 422 rem 690
  27. 596 rem 3
  28. 881 rem 166
  29. 51 rem 449
  30. 604 rem 793
  31. 209 rem 552
  32. 1021 rem 6
  33. 409 rem 77
  34. 10 rem 373
  35. 147 rem 7
  36. 637 rem 30
  37. 239 rem 54
  38. 655 rem 1
  39. 76 rem 853
  40. 620 rem 1

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