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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 1 · 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. 1.67849 ÷ 98 =
  2. 2.166172 ÷ 998 =
  3. 3.10840 ÷ 89 =
  4. 4.20750 ÷ 98 =
  5. 5.13000 ÷ 989 =
  6. 6.169340 ÷ 988 =
  7. 7.361384 ÷ 997 =
  8. 8.730034 ÷ 997 =
  9. 9.332286 ÷ 988 =
  10. 10.15497 ÷ 97 =
  11. 11.69632 ÷ 96 =
  12. 12.7244 ÷ 97 =
  13. 13.376470 ÷ 998 =
  14. 14.154566 ÷ 998 =
  15. 15.33101 ÷ 88 =
  16. 16.728393 ÷ 997 =
  17. 17.632042 ÷ 997 =
  18. 18.71949 ÷ 89 =
  19. 19.20532 ÷ 89 =
  20. 20.1573 ÷ 97 =
  21. 21.484477 ÷ 998 =
  22. 22.290221 ÷ 989 =
  23. 23.3614 ÷ 8 =
  24. 24.15257 ÷ 89 =
  25. 25.640630 ÷ 998 =
  26. 26.478240 ÷ 998 =
  27. 27.87439 ÷ 96 =
  28. 28.59294 ÷ 97 =
  29. 29.7604 ÷ 96 =
  30. 30.559117 ÷ 988 =
  31. 31.52159 ÷ 96 =
  32. 32.46663 ÷ 98 =
  33. 33.81017 ÷ 96 =
  34. 34.9583 ÷ 8 =
  35. 35.3706 ÷ 98 =
  36. 36.27228 ÷ 897 =
  37. 37.3250 ÷ 89 =
  38. 38.745265 ÷ 988 =
  39. 39.519711 ÷ 989 =
  40. 40.4753 ÷ 8 =

Answer key

  1. 692 rem 33
  2. 166 rem 504
  3. 121 rem 71
  4. 211 rem 72
  5. 13 rem 143
  6. 171 rem 392
  7. 362 rem 470
  8. 732 rem 230
  9. 336 rem 318
  10. 159 rem 74
  11. 725 rem 32
  12. 74 rem 66
  13. 377 rem 224
  14. 154 rem 874
  15. 376 rem 13
  16. 730 rem 583
  17. 633 rem 941
  18. 808 rem 37
  19. 230 rem 62
  20. 16 rem 21
  21. 485 rem 447
  22. 293 rem 444
  23. 451 rem 6
  24. 171 rem 38
  25. 641 rem 912
  26. 479 rem 198
  27. 910 rem 79
  28. 611 rem 27
  29. 79 rem 20
  30. 565 rem 897
  31. 543 rem 31
  32. 476 rem 15
  33. 843 rem 89
  34. 1197 rem 7
  35. 37 rem 80
  36. 30 rem 318
  37. 36 rem 46
  38. 754 rem 313
  39. 525 rem 486
  40. 594 rem 1

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